Question

The volume of a cylinder is 63pi cubic inches. Its height is 7 inches. Find the radius of the ball. Round your

answer to the nearest tenth. Show every step in an organized fashion.

Answer 1

3 (or 3.0)

Explanation:

The formula for the volume of a cylinder is
`v=\pi r^2h` where
`v` is the volume,
`r` is the radius, and
`h` is the height. We know the height is 7 inches and the volume of 63pi cubic inches, so plugging in gives:

`63\pi=\pi r^2\cdot 7`.

Dividing by
`7\pi` on both sides gives

`r^2=9`,

and simplifying and taking the positive root leaves
`r=3`.