Question

What is the height of a cylinder with a volume of `720pi` `ft^3` and a radius of `6` `ft?`

Answer 1

Height is `20` `ft`.

Explanation:

Volume of a cylinder of radius `r` and height `h` is `pir^2h`

As volume is `720pi` `ft^3` and radius is `6`, we have

`pixx6^2xxh=720pi`

or `36pih=720pi`

or `h=(720pi)/(36pi)=20`

Hence, height is `20` `ft`.