Answer:
The radius of sphere is 9m.
Step-by-step explanation:
Given that the formula of volume of sphere is V = 4/3×π×r³ and it is 972π m³. So you have to substitute the value into the formula, in order to find radius :
[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
Let V = 972π,
[tex]972\pi = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]972 = \frac{4}{3} {r}^{3} [/tex]
[tex]972 \div \frac{4}{3} = {r}^{3} [/tex]
[tex] {r}^{3} = 729[/tex]
[tex]r = \sqrt[3]{729} [/tex]
[tex]r = 9metres[/tex]
