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.

Explanation:

Let the radius of the sphere = x feet

Therefore, the volume of the sphere =
`(4)/(3) \pi x^3`

But, According to the question,

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

⇒
`(4)/(3) \pi x^3 = 972\pi`

⇒
`x^3 = 972* (3)/(4)`

⇒
`x^3 = (2916)/(4)`

⇒
`x^3 = 729`

⇒
`x =9`

Thus, the radius of the sphere = 9 feet