Question

A dairy farmer uses a storage silo that is in the shape of the right circular cylinder above. If the volume of the silo is 72π cubic yard, what is the diameter of the base of the cylinder, in yards? H=8 yards

Answer 1

The diameter of the base of the cylinder is
`6\ yd`

Explanation:

we know that

The volume of a right circular cylinder is equal to

`V=\pi r^(2)H`

In this problem we have

`V=72\pi\ yd^(3)`

`H=8\ yd`

substitute and solve for r

`72\pi=\pi r^(2)(8)`

`r^(2)=9`

`r=3\ yd`

Find the diameter D

`D=2r` ------>
`D=2(3)=6\ yd`