Question

A bottled-water company has designed a new cup for its dispenser. the cup will be a right circular cone with a three-inch radius. how tall will the cup need to be to hold $30 \pi$ cubic inches of water?

Answer 1

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

We have
Volume = 30
`\pi`
Radius = 3

Substitute the values into the formula gives

30
`\pi`=
`(1)/(3)`
`(3)^(2)`
`\pi`h

`(30 \pi *3)/(9 \pi )`= h

`h=10cm`