Question

The volume of a sphere is 972π ft³.

What is the radius of the sphere?

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ft

Answer 1

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

Hope this helps!

Answer 2

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