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A cylinder has a height of 20 feet. Its volume is 7,598.8 cubic feet. What is the radius of the cylinder?

User Eerriicc
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1 Answer

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Answer:

The radius is approximately 11 feet. More exactly 10.997 when rounded to the nearest thousandth.

Explanation:

A cylinder has a height of 20 feet.

h = 20

Its volume is 7,598.8 cubic feet.

V = 7598.8

The formula for the volume of a cylinder is:

V = pi•r^2•h

Fill in what is given.

7598.8 = pi•r^2•20

Now there is only one variable in the equation, r and we can solve for it.

Divide both sides by 20pi.

120.938658 = r^2

We will have to square root both sides to find r.

10.997 = r



So the radius is 10.997 feet (to the nearest thousandth) or round to 11 feet.

User Zazaeil
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