Verified Answer :

Set (4/3)πr^3 = 972π. So (4/3)r^3 = 972 => r^3 = 729 => r = 9ft

Hope this helps!

Answer: 9 feet.

Step-by-step explanation:

Let the radius of the sphere = x feet

Therefore, the volume of the sphere = \(\frac{4}{3} \pi x^3\)

But, According to the question,

The volume of the sphere = \(972\pi \text{ cubic feet }\)

⇒ \(\frac{4}{3} \pi x^3 = 972\pi\)

⇒ \(x^3 = 972\times \frac{3}{4}\)

⇒  \(x^3 = \frac{2916}{4}\)

⇒  \(x^3 = 729\)

⇒ \(x =9\)

Thus, the radius of the sphere = 9 feet