Answer:
The area of base is 47.1 m² or 15π m².
Step-by-step 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 :
[tex]v = \pi \times {r}^{2} \times h[/tex]
Let v = 315π,
Let h = 21,
[tex]315\pi = \pi {r}^{2} \times 21[/tex]
[tex]\pi {r}^{2} = 315\pi \div 21[/tex]
[tex]\pi {r}^{2} = 15\pi[/tex]
[tex]base \: area = 15\pi \: {m}^{2} [/tex]
[tex]base \: area = 47.1 \: {m}^{2} (3s.f)[/tex]
