GMAT Math : Cylinders

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Example Question #1 :Calculating The Volume Of A Cylinder

What is the volume of a cylinder that is 12 inches high and has a radius of 6 inches?

Possible Answers:

$398\pi$

$512\pi$

$432\pi$

$464\pi$

$532\pi$

Correct answer:

$432\pi$

Explanation:

$volume=\pi r^{2}h=\pi *6^{2}*12=432\pi$

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Example Question #2 :Calculating The Volume Of A Cylinder

A cylindrical gas tank is 30 meters high and has a radius of 10 meters. How much oil can the tank hold?

Possible Answers:

$300\pi$

$2800\pi$

$9000\pi$

$3000\pi$

$1642\pi$

Correct answer:

$3000\pi$

Explanation:

$V=\pi r^{2}h=\pi (10^{2})30=3000\pi$

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Example Question #3 :Calculating The Volume Of A Cylinder

The height and the circumference of a cone are equal. The radius of the cone is 6 inches. Give the volume of the cone.

Possible Answers:

$576 \pi ^{2} \textrm{ in}^{3}$

$432 \pi \textrm{ in}^{3}$

$432 \pi ^{2} \textrm{ in}^{3}$

$144 \pi \textrm{ in}^{3}$

$144 \pi ^{2} \textrm{ in}^{3}$

Correct answer:

$144 \pi ^{2} \textrm{ in}^{3}$

Explanation:

The circumference of a circle with radius 6 inches is $2 \pi \cdot 6 = 12 \pi$ inches, making this the height. The area of the circular base is $B = \pi \cdot 6^{2} = 36 \pi$ square inches. The cone has volume

$V = \frac{1}{3} Bh = \frac{1}{3} \cdot 36 \pi \cdot 12 \pi = 144 \pi ^{2}$ cubic inches.

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Example Question #4 :Calculating The Volume Of A Cylinder

The height of a cylinder is twice the circumference of its base. The radius of the base is 10 inches. What is the volume of the cylinder?

Possible Answers:

$4,000 \pi ^{2} \textrm{ in}^{3}$

$4,000 \pi \textrm{ in}^{3}$

$8,000 \pi ^{2} \textrm{ in}^{3}$

$8,000 \pi \textrm{ in}^{3}$

$4,000 \pi ^{3} \textrm{ in}^{3}$

Correct answer:

$4,000 \pi ^{2} \textrm{ in}^{3}$

Explanation:

The radius of the base is 10 inches, so its circumference is $2 \pi$ times this, or $2 \pi \cdot 10 = 20 \pi$ inches. The height is twice this, or $40 \pi$ inches.

Substitute $r = 10 , h = 40 \pi$ in the formula for the volume of the cylinder:

$V = \pi r ^{2} h$

$V = \pi \cdot 10 ^{2}\cdot 40 \pi = 4,000 \pi ^{2}$ cubic inches

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Example Question #5 :Calculating The Volume Of A Cylinder

A large cylinder has a height of 5 meters and a radius of 2 meters. What is the volume of the cylinder?

Possible Answers:

$15\pi$ m^3

$10\pi$ m^3

$20\pi$ m^3

$50\pi$ m^3

$35\pi$ m^3

Correct answer:

$20\pi$ m^3

Explanation:

We are given the height and radius of the cylinder, which is all we need to calculate its volume. Using the formula for the volume of a cylinder, we plug in the given values to find our solution:

$V=\pi r^2h$

$V=\pi (2)^2(5)$

$V=20\pi$ m^3

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Example Question #6 :Calculating The Volume Of A Cylinder

Consider the Circle:

Circle3

(Figure not drawn to scale.)

Suppose Circleis the base of a cylindrical silo that has a height of $30\:m$ . What is the volume of the silo in meters cubed?

Possible Answers:

$900 \pi\:m^3$

$225 \pi\:m^3$

$500 \pi\:m^3$

$6750 \pi\:m^3$

$450 \pi\:m^3$

Correct answer:

$6750 \pi\:m^3$

Explanation:

To find the volume of cylinder, use the following equation:

$\small V=\pi r^2h$

In this equation,is the radius of the base and是圆柱体的高。插入给定的value for the height of the silo and simplify to get the answer in meters cubed:

$\small \small V=\pi (15\:m)^2*30\:m=6750 \pi\:m^3$

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Example Question #7 :Calculating The Volume Of A Cylinder

A given cylinder has a radius ofand a height of. What is the volume of the cylinder?

Possible Answers:

$1500\pi$

$25\pi$

$60\pi$

$300\pi$

$150\pi$

Correct answer:

$1500\pi$

Explanation:

The volumeof a cylinder with radiusand heightis defined as $V=\pi r^{2}h$ . Plugging in our given values:

$V=\pi r^{2}h$

$V=\pi (10)^{2}(15)$

$V=\pi (100)(15)$

$V=1500\pi$

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Example Question #8 :Calculating The Volume Of A Cylinder

A cylindrical oil drum has a radius ofmeters and a height ofmeters. How much oil can the drum hold?

Possible Answers:

$5\pi m^{3}$

$18\pi m^{3}$

$6\pi m^{3}$

$10\pi m^{3}$

$12\pi m^{3}$

Correct answer:

$12\pi m^{3}$

Explanation:

Since we are looking to find out how much oil the drum can hold, we need to find the volume of the drum. The volumeof a cylinder with radiusand heightis defined as $V=\pi r^{2}h$ . Plugging in our given values:

$V=\pi r^{2}h$

$V=\pi (2m)^{2}(3m)$

$V=\pi (4m^{2})(3m)$

$V=12\pi m^{3}$

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Example Question #11 :Calculating The Volume Of A Cylinder

Daisy has an empty cylindrical water bottle that has a radius of 3cm and a height of 15cm . How much water can she add to the bottle to fill it up?

Possible Answers:

$135\pi cm^{3}$

$180\pi cm^{3}$

$45\pi cm^{3}$

Not enough information provided

$18\pi cm^{3}$

Correct answer:

$135\pi cm^{3}$

Explanation:

Since we are looking to find out how much water the bottle can hold, we need to find the volume of the bottle. The volumeof a cylinder with radiusand heightis defined as $V=\pi r^{2}h$ . Plugging in our given values:

$V=\pi (3cm)^{2}(15cm)$

$V=\pi (9cm^{2})(15cm)$

$V=135\pi cm^{3}$

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Example Question #12 :Calculating The Volume Of A Cylinder

Find the volume of a cylinder whose height isand radius is.

Possible Answers:

$\24\pi$

$8\pi$

$16\pi$

$32\pi$

Correct answer:

$32\pi$

Explanation:

To find the volume of a cylinder, you must use the following equation:

$V=\pi{r^2}h$

Thus,

$V=\pi(2^2)(8)=32\pi$

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GMAT Math : Cylinders

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #1 :Calculating The Volume Of A Cylinder

Example Question #2 :Calculating The Volume Of A Cylinder

Example Question #3 :Calculating The Volume Of A Cylinder

Example Question #4 :Calculating The Volume Of A Cylinder

Example Question #5 :Calculating The Volume Of A Cylinder

Example Question #6 :Calculating The Volume Of A Cylinder

Example Question #7 :Calculating The Volume Of A Cylinder

Example Question #8 :Calculating The Volume Of A Cylinder

Example Question #11 :Calculating The Volume Of A Cylinder

Example Question #12 :Calculating The Volume Of A Cylinder

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