Question

A cylinder has a volume of 315 pi cubic meters and a height of 21 meters. What is the area of the base?

Answer 1

a

Explanation:

Answer 2

The area of base is 47.1 m² or 15π m².

Explanation:

Given that the formula of volume of cylinder is V = πr²h where πr² is the base area of cylinder so you have to substitute the following values into the formula :

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

Let v = 315π,

Let h = 21,

`315\pi = \pi {r}^(2) * 21`

`\pi {r}^(2) = 315\pi / 21`

`\pi {r}^(2) = 15\pi`

`base \: area = 15\pi \: {m}^(2)`

`base \: area = 47.1 \: {m}^(2) (3s.f)`