Question

The volume of a cylinder is 4,320π ft3. The diameter is 24 ft. What is the height of the cylinder?

Answer 1

The height is 30 feet

Step-by-step explanation

The volume of a cylinder is calculated using the formula;

`V = \pi {r}^(2) h`

The diameter is 24 ft. This implies that the radius of the cylinder is 12ft.

We substitute known values to get:

`4320\pi= \pi{(12)}^(2) h`

`4320\pi=144 \pi h`

Divide both sides by 144π

`h = 30ft`