GRE Math : How to find the volume of a cylinder

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #5 : Cylinders

A cylinder has a height of 4 and a circumference of 16π. What is its volume

Possible Answers:

none of these

128π

64π

256π

16π

Correct answer:

256π

Explanation:

circumference = πd

d = 2r

volume of cylinder = πr2h

r = 8, h = 4

volume = 256π

Example Question #6 : Solid Geometry

Rusty is considering making a cylindrical grain silo to store his crops. He has an area that is 6 feet long, 6 feet wide and 12 feet tall to build a cylinder in. What is the maximum volume of grain that he can store in this cylinder?

Possible Answers:

 

Correct answer:

Explanation:

The maximum cylindrical base can have a diameter of 6 and therefore a radius of 3. The formula for the volume of a cylinder is \dpi{100} \small \pi r^{2}h, which in this case is \dpi{100} \small 3\times 3\times 12\times \pi

Example Question #1 : How To Find The Volume Of A Cylinder

A cylinder with volume of  and a radius of  has its radius doubled. What is the volume of the new cylinder?

Possible Answers:

Correct answer:

Explanation:

To begin, you must solve for the height of the original cylinder. We know:

For our values, we know:

Now, divide both sides by :

So, if we have a new radius of , our volume will be:

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