2 Answers

MaThMaX · Answer 1 · 2021-09-26T13:13:32+0000

Answer:

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,

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

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

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

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

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

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