GRE Math : Cylinders

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

A cylinder with volume of $192\pi\:in^3$ and a radius of $4\:in$ has its radius doubled. What is the volume of the new cylinder?

Possible Answers:

$1536\pi\:in^3$

$768\pi\:in^3$

$528\pi\:in^3$

$384\pi\:in^3$

$892\pi\:in^3$

Correct answer:

$768\pi\:in^3$

Explanation:

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

$V=\pi r^2h$

For our values, we know:

$192\pi=\pi 4^2h=16\pi h$

Now, divide both sides by $16\pi$ :

12=h

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

$V=8^2*12*\pi=768\pi\:in^3$

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GRE Math : Cylinders

Study concepts, example questions & explanations for GRE Math

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

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