Question

The volume of a CONE-shaped hole is 75pi ft cubed. If the hole is 9 feet deep, what is the radius of the hole?

(1 Point)

Answer 1

The radius of hole is 5 feet

Explanation:

Depth of conical hole = 9 feet

Let the radius of hole be r

Volume of conical hole =
`(1)/(3) \pi r^2 h`

So, Volume of conical hole =
`(1)/(3) \pi * r^2 * 9`

We are given that volume of a CONE-shaped hole is 75pi ft cubed.

So,
`(1)/(3) \pi * r^2 * 9=75 \pi`

`(1)/(3) * r^2 * 9=75`

`r^2=(75 * 3)/(9)`

`r=\sqrt{(75 * 3)/(9)}`

r=5

Hence The radius of hole is 5 feet