GMAT Math : Calculating the volume of a cylinder

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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:

$45\pi cm^{3}$

$18\pi cm^{3}$

Not enough information provided

$135\pi cm^{3}$

$180\pi cm^{3}$

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 volume of a cylinder with radius and height is 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 #11 : Calculating The Volume Of A Cylinder

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

Possible Answers:

$16\pi$

$\24\pi$

$32\pi$

$8\pi$

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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Example Question #21 : Cylinders

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

Possible Answers:

$81\pi$

$64\pi$

$27\pi$

$9\pi$

Correct answer:

$81\pi$

Explanation:

To find the volume, you must use the following formula.

$V=\pi{r^2}h=\pi(3^2)(9)=81\pi$

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Example Question #14 : Calculating The Volume Of A Cylinder

The height of a cylinder is $\pi ^{x}$ ; its bases are circles with radius $\pi$ .

Give the volume of the cylinder.

Possible Answers:

$\pi ^{2x+1}$

$\pi ^{2x+3}$

$\pi ^{x+2}$

$\pi ^{2x+2}$

$\pi ^{x+3}$

Correct answer:

$\pi ^{x+3}$

Explanation:

The volume of a cylinder can be calculated from its radius and height as follows:

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

Setting $h = \pi ^{x}$ and $r = \pi$ .

$V = \pi \cdot \pi ^{2} \cdot \pi ^{x} = \pi^{1} \cdot \pi ^{2} \cdot \pi ^{x} = \pi ^{1+2+x} = \pi ^{x+3}$

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Example Question #15 : Calculating The Volume Of A Cylinder

A right circular cylinder has bases of radius $\pi ^{x}$ ; its height is $\pi ^{y}$ . Give its volume.

Possible Answers:

$\pi^{2 x+y+1}$

$\pi ^{ 2x+1 } + \pi ^{x+y+1}$

$\pi ^{ 2y+1 } + \pi ^{x+y+1}$

$\pi^{ x+2y+1}$

$\pi^{ x+y+1}$

Correct answer:

$\pi^{2 x+y+1}$

Explanation:

The volume of a cylinder can be calculated from its radius and height as follows:

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

Setting $r = \pi^{x}$ and $h = \pi ^{x}$ :

$V = \pi \cdot (\pi^{x}) ^{2} \cdot \pi^{y}$

$V = \pi^{1} \cdot \pi^{2 x} \cdot \pi^{y}$

$V = \pi^{1+2 x+y}$ or $V = \pi^{2 x+y+1}$

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Example Question #16 : Calculating The Volume Of A Cylinder

Find the volume of a cylinder whose diameter is and height is .

Possible Answers:

$25\pi$

$10\pi$

$96\pi$

$24\pi$

Correct answer:

$24\pi$

Explanation:

To solve, you must use the following equation:

$V=\pi{r^2}h$ , given r=2 and h=6 . Thus,

$V=\pi(2^2)(6)=24\pi$

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GMAT Math : Calculating the volume of a cylinder

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #11 : Calculating The Volume Of A Cylinder

Example Question #11 : Calculating The Volume Of A Cylinder

Example Question #21 : Cylinders

Example Question #14 : Calculating The Volume Of A Cylinder

Example Question #15 : Calculating The Volume Of A Cylinder

Example Question #16 : Calculating The Volume Of A Cylinder

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