Question

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answer 1

D. 9 in

Explanation:

The volume of a sphere is given by the formula
`\bold{ V = (4)/(3) \pi r^3}` where r is the radius of the sphere.

In this case, we know that the volume is
`972\pi` cubic inches.

Substituting this into the formula, we get:

`972\pi = (4)/(3) \pi r^3`

Dividing both sides by π, we get:

`972 = (4)/(3) r^3`

Multiplying both sides by
`(3)/(4)`, we get:

`729 = r^3`

Taking the cube root of both sides, we get:

r = 9

Therefore, the radius of the sphere is 9 inches.