Question

A cone with a height of 50 meters has a volume of 5400pie what is the radius of the cone

Answer 1

Given:

Height of a cone = 50 m

Volume of cone = 5400π

To find:

The radius of the cone

Solution:

Volume of cone:

`$V=(1)/(3)\pi r^2h`

`$(1)/(3)\pi r^2h=5400\pi`

Cancel common factor π on both sides.

`$(1)/(3) r^2h=5400`

Substitute h = 50.

`$(1)/(3)* r^2* 50=5400`

Multiply by 3 on both sides.

`$3 * (1)/(3)* r^2* 50=5400* 3`

`$ r^2* 50=16200`

Divide by 50 on both sides, we get

`r^2=324`

Taking square root on both sides, we get

`r=18`

The radius of the cone is 18 m.