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## A right circular cylinder has a volume of 500 cu in. If the base has a radius of 4 in., what's the altitude of the cylinder? Round your answer to two decimal places. A. 9.95 in. B. 19.79 in. C. 31.25 in. D. 29.84 in.

A right circular cylinder has a volume of 500 cu in. If the base has a radius of 4 in., what’s the altitude of the cylinder? Round your answer to two decimal places. A. 9.95 in. B. 19.79 in. C. 31.25 in. D. 29.84 in.

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## When should you replace the co2 cylinder in an inflatable pfd?

The Co2 cylinder must be replaced anytime it is punctured. A CO2 cylinder is punctured if it automatic inflates when the user enter water. The PDF should be examined regularly to ensure that there is no leak in the vest. The typical recommended expiry date for PDF CO2 cylinder is one to two years, this recommendation should be followed even if the cylinder is not punctured.

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## A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends: The figure shows a cylinder of height 16 inches and diameter 6 inches. What is the approximate inside volume of the pipe?

A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends: The figure shows a cylinder of height 16 inches and diameter 6 inches. What is the approximate inside volume of the pipe?

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## Mass of empty 10 mL graduated cylinder (grams)

This problem is to apply Roult’s Law.

Roult’s Law states that the vapor pressure, p, of a solution of a non-volatile solute is equal to the vapor pressure of the pure solvent, Po solv, times the mole fraction of the solvent, Xsolv

p = Xsolv * Po sol

X solv = number of moles of solvent / number of moles of solution

The solvent is water and the solute (not volatile) is glycerin.

Number of moles = mass in grams / molar mass

mass of water = 132 ml * 1 g/ml = 132 g

molar mass of water = 18 g/mol

=> number of moles of water = 132 g / 18 g/mol = 7.33333 mol

mass of glycerin = 27.2 g

molar mass of glycerin:, C3H8O3: 3 * 12 g/mol + 8 * 1 g/mol + 3*16 g/mol = 92 g/mol

number of moles of glycerin = 27.2g / 92 g/mol = 0.29565

total number of moles = 7.33333 moles + 0.29565 moles = 7.62898 moles

=> X solv = 7.33333 / 7.62898 = 0.96125

=> p = 0.96125 * 31.8 torr ≈ 30.57 torr ≈ 30.6 torr.

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## . Which one of the following is not a typical engine cylinder arrangement? A. V-type B. Dome-type C. In-line D. Horizontally opposed

The
piston engine uses the crankshaft to convert the reciprocating motion of the
piston into rotary motion.

The
crankshaft is used to convert reciprocating motion of the piston into rotary
motion, while the conversion process is called torque, which is a twisting
force. Aside from crankshaft, there are a total of four parts of the engine
that work together in order to convert the reciprocating motion into rotary
motion namely cylinder, or also called the chamber of the piston, the piston itself,
and the connecting rod.

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## A cylinder has its height doubled and its radius cut to one third. What is the ratio of the volumes of the modified cylinder to the original cylinder?

Solution:

The Given Rectangle having dimensions

Length = 80 cm

Let the Six squares which has been cut from this rectangle have side of length a cm.

Area of each square = (Side)²= a²

Area of 6 Identical Squares = 6 × a²= 6 a²

If four squares are cut from four corners and two along Length,

then , Length of Box = (80 – 3 a)cm, Breadth of Box = (50 – 2 a)cm, Height = a cm

Volume of Box =V = Length × Breadth × Height

V = (80 – 3 a)× (50 – 2 a)× a

V   = 4000 a – 310 a² + 6 a³

For Maximum Volume

V’= 0 , where V’ = Derivative of V with respect to a.

V’= 4000 – 620 a + 18 a²

V’ =0

18 a² – 620 a + 4000= 0

9 a² – 310 a + 2000=0

using determinant method

cm

V”=1 8 a – 310 = -ve

which shows , when a = 8.6 cm , volume is maximum.

So, V = 4000×8.6 – 310×(8.6)²+6×(8.6)³=15288.736 cm³

OR

If four squares are cut from four corners and two along Breadth,

then , Length of Box = (80 – 2 a)cm, Breadth of Box = (50 –  3 a)cm, Height = a cm

Volume of Box =V = Length × Breadth × Height

V = (80 – 2 a)× (50 – 3 a)× a

V   = 4000 a – 340 a² + 6 a³

For Maximum Volume

V’= 0 , where V’ = Derivative of V with respect to a.

V’= 4000 – 680 a + 18 a²

V’ =0

18 a² – 680 a + 4000= 0

9 a² – 340 a + 2000=0

Using Determinant method

cm

V”=18 a -340= -ve value when a = 7.6 cm, shows volume is maximum when a = 7.6 cm

V= 4000×7.6 -340 × (7.6)² +6× (7.6)³=13395.456 cubic cm

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## The gas in a cylinder has a volume of 5 liters at a pressure of 101 kPa. The pressure of the gas is increased to 202 kPa. Assuming the temperature remains constant, what would the new volume be? L

This problem is to apply Roult’s Law.

Roult’s Law states that the vapor pressure, p, of a solution of a non-volatile solute is equal to the vapor pressure of the pure solvent, Po solv, times the mole fraction of the solvent, Xsolv

p = Xsolv * Po sol

X solv = number of moles of solvent / number of moles of solution

The solvent is water and the solute (not volatile) is glycerin.

Number of moles = mass in grams / molar mass

mass of water = 132 ml * 1 g/ml = 132 g

molar mass of water = 18 g/mol

=> number of moles of water = 132 g / 18 g/mol = 7.33333 mol

mass of glycerin = 27.2 g

molar mass of glycerin:, C3H8O3: 3 * 12 g/mol + 8 * 1 g/mol + 3*16 g/mol = 92 g/mol

number of moles of glycerin = 27.2g / 92 g/mol = 0.29565

total number of moles = 7.33333 moles + 0.29565 moles = 7.62898 moles

=> X solv = 7.33333 / 7.62898 = 0.96125

=> p = 0.96125 * 31.8 torr ≈ 30.57 torr ≈ 30.6 torr.

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## Which of the following has the same relationship as the words below? Circle: cylinder

Here are a few pointers; hope this is useful)

Ovation-by definition- is show of appreciation from an audience, for a person’s accomplishments or flaw.

“Everyone deserves a standing ovation because we all overcometh the world.”

A person’s accomplishment could be how they made a positive change in this world, strong leadership- that makes them a effective leader or simply helping others. A person’s flaw- mistakes in life, sin or even guilt should also be considered an appreciation- an ovation for representing mankind’s flaw and that humanity makes mistakes, fulfilling at least one deadly sin such as greed, lust, selfishness etc.

Thus, regardless of a person’s achievement or flaw- a person deserves an applause for, not the least, living in this society and this world that we are all living together and dying together.

That was just the introduction.. the best part is yet to come.. now it’s your turn!!

Shakespeare’s famous line “All the World’s a stage. That agrees with your line: “Everybody deserves a standing ovation…”

Shakespeare explains that men and women are like players: they live, and die, some being celebrated and some forever living in solitude till their death. Shakespeare states the world is a “stage” which symbolizes that mankind is in its peak. The world is changing everyday: little by little and humanity is falling behind.
Due to our world turning into machinery: factories, an automotive future: where humans only job to live (entrance) and to die (exit) the famous humans remembered and the flawed not recalled.

This is according to Shakespeare’s imagery.

I don’t know what grade your in, but I think simplifying Shakespeare’s word of mouth in your essay would be handy and useful as it has strong references of your quote, and agrees strongly in your essay.

Hope this helps 🙂

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## If a large leak of refrigerant occurs such as from a filled cylinder in an enclosed area what action should be taken when no self-contained breathing apparatus is available?

25) Answer is: less metallic and more nonmetallic.

Electronegativity increases from left to right across a period, atoms have tendency to attract electrons.

Electronegativity (χ) is a property that describes the tendency of an atom to attract a shared pair of electrons.

Radioisotope has an unstable atomic nucleus and emit energy and particles when it changes to a more stable form.

Francium (Fr) is element with atomic number 87 (87 protons and 87 electrons).

Boiling is the temperature at which the vapour pressure of the liquid is equal to the pressure exerted on the liquid by the surrounding atmosphere.

The Celsius scale was based on 0°C for the freezing point of water and 100°C for the boiling point of water at 1 atm pressure.

There are two types of reaction:

1) endothermic reaction (chemical reaction that absorbs more energy than it releases, ΔH>0).

2) exothermic reaction (chemical reaction that releases more energy than it absorbs).

For example, the breakdown of ozone is an endothermic process. Ozone has lower energy than molecular oxygen (O₂) and oxygen atom, so ozone need energy to break bond between oxygen atoms.

The average kinetic energy of molecules depends on the temperature.

As temperature increases, molecules gain more energy from surrounding and move faster.

Kinetic energy (standard unit is the joule J) depends on speed of the molecule.

Solid gains kinetic energy to become a liquid and then becomes a gas.

This was famous Rutherford’s Gold Foil Experiment: he bombarded thin foil of gold with positive alpha particles.

Rutherford observed the deflection of alpha particles on the photographic film.

Alpha particles are helium atom particles, consist of two protons and two neutrons.

According to Rutherford model of the atom: atoms have their charge concentrated in a very small nucleus.

For example, calcium oxide.

Calcium oxide (CaO) has ionic bonds between calcium cations (Ca²⁺) and oxygen anions (O²⁻).

Because it has strong ionic bonds, it has high melting point (around 2600°C).

Ionic bond is the electrostatic attraction between oppositely charged ions (cations and anions).

32) Answer is: a scientific model.

A scientific model is a representation of an idea, an object, a process or a system that is used to describe and explain phenomena that cannot be experienced directly.

33) Answer is: the superscript is mass number and the subscript is atomic number.

Atomic number(Z) is the number of protons, which is characteristic of a chemical element..

Mass number (A) is the total number of protons and neutrons in a nucleus.

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## A funnel is made up of a partial cone and a cylinder as shown in the figure. The maximum amount of liquid that can be in the funnel at any given time is 16.59375π cubic centimeters. Given this information, what is the volume of the partial cone that makes up the top part of the funnel?

A funnel is made up of a partial cone and a cylinder as shown in the figure. The maximum amount of liquid that can be in the funnel at any given time is 16.59375π cubic centimeters. Given this information, what is the volume of the partial cone that makes up the top part of the funnel?

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## A(n) ______ reduces the pressure of compressed oxygen inside the oxygen cylinder to a level more appropriate for patient care.

“Identical twins” who have been raised apart are typically more similar in intelligence level than biological siblings raised together because they have been born with the same genetic code.

Identical twins originate from a single fertilized egg that parts into two. Before it parts, it is either male or female. After it parts, there are either two guys or two females. The two sections of the fertilized egg embed in the uterus and every create one of the twins.

Identical twins have the equivalent hereditary source. No immediate reason for monozygotic twinning has been resolved; it isn’t innate. Monozygotic twins speak to around 33% all things considered. They may look strikingly comparative, and it might be hard to reveal to them separated.

Lawrence Kohlberg felt that one of the only ways individuals will accomplish the objectives in each of his six stages was to participate in “consensus democracy” in small group settings.

Lawrence Kohlberg felt that the best way to support development through these stages was by discourse of good problems and by investment in consensus democracy inside small groups. Consensus democracy was rule by understanding of the gathering, not larger part rule. This would invigorate and widen the reasoning of youngsters and grown-ups, enabling them to advance starting with one phase then onto the next.

3. The answer is “D.  showing a learner how to correct common mistakes”.

The term scaffolding alludes to a procedure in which instructors display or exhibit how to take care of an issue, and afterward venture back, offering support as required. Analyst and instructional architect Jerome Bruner first utilized the term ‘scaffolding’ in this setting, harking back to the 1960s. The hypothesis is that when understudies are given the help they require while discovering some new information, they stand a superior possibility of utilizing that learning freely. Bruner suggests positive association and three methods of portrayal amid educating: activities, pictures, and dialect.

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## Use the formulas for a cylinder: r = 2 h = 6 SA = ?

Use the formulas for a cylinder: r = 2 h = 6 SA = ?

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## A cylinder rod formed from silicon is 46.0cm long and has a mass of 3.10kg. The density of silicon is 2.33g/cm3. what is the diameter of the cylinder?

This problem is to apply Roult’s Law.

Roult’s Law states that the vapor pressure, p, of a solution of a non-volatile solute is equal to the vapor pressure of the pure solvent, Po solv, times the mole fraction of the solvent, Xsolv

p = Xsolv * Po sol

X solv = number of moles of solvent / number of moles of solution

The solvent is water and the solute (not volatile) is glycerin.

Number of moles = mass in grams / molar mass

mass of water = 132 ml * 1 g/ml = 132 g

molar mass of water = 18 g/mol

=> number of moles of water = 132 g / 18 g/mol = 7.33333 mol

mass of glycerin = 27.2 g

molar mass of glycerin:, C3H8O3: 3 * 12 g/mol + 8 * 1 g/mol + 3*16 g/mol = 92 g/mol

number of moles of glycerin = 27.2g / 92 g/mol = 0.29565

total number of moles = 7.33333 moles + 0.29565 moles = 7.62898 moles

=> X solv = 7.33333 / 7.62898 = 0.96125

=> p = 0.96125 * 31.8 torr ≈ 30.57 torr ≈ 30.6 torr.

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## What is the volume of a cylinder with a radius of 9 inches and a height of 2 inches? Use 3.14 for pi. Round your answer to the nearest hundredth. – 500.21 cubic inches – 508.68 cubic inches – 550.45 cubic inches – 561.75 cubic inches

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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## A barrel shaped like a cylinder is laid on its side and rolled up a ramp that is 92m long. The barrel has a circular base that turns 46 times in being rolled up the ramp. What is the diameter of the circular base?

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=   …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

…………[3]

Subtract [2] and [3]

……….[4]

Add equation [1] and [4], to get values of x and y

Substitute x in [1]

Substitute value of x in equation [2], to get z

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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## A fuel oil tank is an upright cylinder, buried so that its circular top is 14 feet beneath ground level. the tank has a radius of 5 feet and is 15 feet high, although the current oil level is only 14 feet deep. calculate the work required to pump all of the oil to the surface. oil weighs 50lb/ft350lb/ft3.

Say we have a cylinder
that has a height of dx, we see that the cylinder has a volume of:

Vcylinder = πr^2*h = π(5)^2(dx) = 25π dx

Then, the weight of oil in this cylinder is:

Fcylinder = 50 * Vcylinder = (50)(25π dx) = 1250π dx.

Then, since the oil x feet from the top of the tank needs to
travel x feet to get the top, we have:

Wcylinder = Force x Distance = (1250π dx)(x) = 1250π x dx.

Integrating from x1 to x2 ft gives the total work to be: (x1
= distance from top liquid level to ground level; x2 = distance from bottom
liquid level to ground level)

W = ∫ 1250π x dx
W = 1250π ∫ x dx
W = 625π * (x2 – x1)

x2 = 14 ft  + 15 ft = 29 ft

x1 = 14 ft + 1 ft = 15
ft

W = 625π * (29^2 – 15^2)
W = 385,000π ft-lbs
= 1,209,513.17 ft-lbs

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## You fill a graduated cylinder with 50.00 milliliters of water. you drop a piece of aluminum with a mass of 15.00 grams into the graduated cylinder causing the water to rise. what would the new volume of the graduated cylinder be after dropping the aluminum?

1. I am definitely sure that correct option is: a. It will continue to move to the right, its speed increasing with time. If the object is experiencing a net force to the right, it always accelerates to the right => the velocity is increasing, because the greater the force, the larger the acceleration.

2. In my opinion the answer should be

b. The table top will break and the object will fall to the floor. We should count the normal force of the object. According to the conditions, we can use N=mg; N=165*9,8 = 1617 N. 1617 > 1600. That’s why I’ve picked this option.

3. It’s tricky question, because the weight of the rock depends only on the force of gravity. Speed doesn’t affect the weight of the object. So it doesn’t matter what the acceleration is, its force will be 138 N. So the answer is D.

4. The friction doesn’t matter. We should use Newton’s laws to define

the normal force that the floor exerts on the chair.
So the solution is:
; where
;
so the most approximate answer is B. 340 N.

5. I am pretty sure that correct answer is: b. extremely small values, such as the distances between particles in an atomic nucleus. According to its definition, strong interaction is a mechanism that is responsible responsible for the acts between subatomic particles of matter.

6. As far as I remember the correct option is: a. The action force and the reaction force act on different objects. Action and reaction forces are very important forces of a single interaction and they are not exist without each other. They’re both equal in strength but opposite in direction.

7. I am not completely sure, but I think that the answer should be 48 N. We have normal force which is equal to the box’s weight, so n = 320 N. Then we can count force of friction using the formula f = n*μ where μ = 0.15.

8. –

9. We have  and . And this is all we need to find the real force that pulls the wagon forward.
The formula is:
;
;

So the most approximate answer is C. 245 N.

10. According to the free-body diagram given above, the answer should be d. a woman jumping off the floor. Because in this option the object is experiencing a vertical acceleration, and this means that the normal force acting on the object will not be equal to the weight of the object.

11. According to the Newton’s second law of motion

So the answer is  A. 8 m/s^2

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## Susan dropped a nail into a graduated cylinder filled with water. She then recorded the number of millimeters the water rose in the cylinder. Which property of the nail can be determined by the change in height of the water?

19.2 g of B2H6 will produce 1.39 moles of water

## Further Explanation

### Moles, Atomic mass and Molecular mass

• 1 mole of a pure substance contains a mass that is equal to the relative atomic mass or molecular mass of the substance.
• Therefore; molar mass is given as grams per mole of a substance
• Hence;

Molar mass = mass of a substance/ Number of moles

g/mol = g /mole

M = m/n; where M is the molar mass, m is the mass and n is the number of moles

• From this relationship we can therefore, calculate mass by multiplying the number of moles by molar mass of a substance.
• That is; Mass = moles x molar mass
• To calculate number of moles;

We have; n = m/M

Number of moles = Mass of the substance/ Molar mass

### In this question;

The equation for the reaction is;

B₂H₆ + 3O₂ → 2HBO₂ + 2H₂O

Step 1; Moles of B₂H₆

Molar mass of B₂H₆ is 27.66964 g/mol

Therefore;

Number of moles = Mass/molar mass

= 19.2 g/27.66964 g/mol

= 0.6939 moles B₂H₆

Step 2: Moles of H₂O

Mole ratio; 1 mole B₂H₆ produces 2 moles of H₂O

Therefore;

Moles of H₂O = 0.6939 moles x 2

= 1.3878 moles

= 1.39 moles of H₂O

Keywords: Moles, Molar mass, mole ratio

Level: High school

Subject: Chemistry

Topic: Moles

Sub-topic: Moles, Molar mass

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## A leaky faucet drips once each second. at this rate, it takes 1 hour to fill a 1-liter graduated cylinder to the 200-cm3 mark. what unit conversion do you need in order to calculate the average volume of a single drop in cm3?

Draw a free body diagram of on the mass m2 = 9 kg, as shown in the picture attached with the question.
Weight = mg = 9 x 10 = 90N downwards
Normal reaction R = 90N upwards
F = 103N
and friction on the right.

Then the static friction = μs.R = 0.60 x 90 = 54N (right direction)
Now, the force applied is 103 N and the max static friction is 54 N, therefore the smaller box will slip on the larger box and in this case, kinetic friction will act.
Fr = μk.R = 0.4 x 90 = 36 N (right direction)

The resultant horizontal force on m2 = 103 N – 36 N = 67 N (to the left)

F = ma,
a = F/m = 67/9 = 7.44m/s²

In unit vector notation, if rigth direction is considered as +i, then a = -5.1î m/s²

Now, on bigger box, the net horizontal force is 36N (KINETIC FRICTIONAL FORCE)

a = F/m = 36/40 = 0.9m/s²

In unit vector notation this is -0.9î m/s²

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## Find the volume of the shaded region of the cylinder

Find the volume of the shaded region of the cylinder

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## A graduated cylinder has a mass of 50g when empty. when 30 mL of water is added, the graduated cylinder has a mass of 120g. if a rock is added to the graduated cylinder, the water level rises to 75mL and the total mass is now 250g. what is the density of the rock?

The acceleration of the object if

a. The force is doubled → a = 16 m/s²

b. The object’s mass is doubled → a = 4 m/s²

c. The force and the object’s mass are both doubled → a = 8 m/s²

### Further explanation

Newton’s second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.

F = Force ( Newton )

m = Object’s Mass ( kg )

a = Acceleration ( m )

Let us now tackle the problem!

Given:

a₁ = 8 m/s²

## Question A:

The force is doubled → F₂ = 2F₁

## Question B:

The object’s mass is doubled → m₂ = 2m₁

## Question C:

The force and the object’s mass are both doubled → F₂ = 2F₁ , m₂ = 2m₁

Subject: Physics

Chapter: Dynamics

Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant

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## PLEASE HELP ::What is the surface area of a cylinder that is 12 feet high and has a radius of 2 feet (round to the nearest whole number)? A) 81.6 ft.2. B) 163 ft.2. C) 176 ft.2. D) 250 ft.2.

The correct options are:

• Fredrick’s data set contains an outlier.
• The mean value is about 12.6 home runs.
• T
he median describes Fredrick’s data more accurately than the mean.

Step-by-step explanation:

It is given that the runs hit by Fredrick in 10 seasons of play are:

14, 18, 13, 12, 12, 16, 13, 12, 1, and 15

• We know that outlier of  data points are the points that stand out of the rest of data i.e. it is either too high or too low value as compared to the other data points.

Hence, here the outlier is: 1

Now, we arrange the data points in the increasing order or ascending order to obtain:

1   12    12    12   13   13   14   15   16   18

• We know that median of a data is the central tendency of the data and always exits in the middle of the data set.

Hence, here we see that the median lies between 13 and 13.

Hence,

Median= 13 home runs.

• Now, we know that the mean is the average of the data points and is solved as:

Hence, Mean=12.6 home runs.

• Since, the median remains unchanged even after the removal of an outlier.

Hence, the median describes Fredrick’s data more accurately than the mean.

• Now, when the outlier is removed than the mean value is calculated as:

Hence, the mean is changed with the removal of an outlier.

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## What is the volume of this cylinder? Use π ≈ 3.14.

width of the rectangular prism is 4.5 inches.

Step-by-step explanation:

Carltren solves for w and writes the equivalent equation as

Now, we have to find the width of a rectangular prism that has a volume of 138.24 cubic inches a height of 9.6 inches and a length of 3.2 inches.

Thus, we have

V = 138.24 cubic inches

l = 3.2 inches

h = 9.6 inches.

Substituting these values in the above formula to find w

On simplifying, we get

Thus, width of the rectangular prism is 4.5 inches.

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## True or false A cone is a type of cylinder

The meaning of term continuous is that there should be no breaking.

In terms of mathematics , a function is said to be continuous function if there are no gaps when you plot the curve on coordinate axis.

In option 1, points scored is an incomplete statement.

Option 2, pages in a book is an example of constant function if you count pages between two pages. But it is a continuous function if page numbers are counted.

Option 3, children in a family is not a continuous function because there are gap in birth of two children.

Option 4, Temperature of an engine varies if engine is moving, otherwise remains constant.

Option (B), pages in a book is a type of data which is BEST described by a continuous model.