A sphere has a volume of 4,500π cubic inches. What is the radius of the sphere?

15 in

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3) πr³. Here we're working backwards in that we have the volume but need to determine the radius.

Let (4/3) πr³ = 4500π. Simplifying, (4/3) r³ = 4500

Multiplying both sides by 3/4 yields r³ = 3375 in³.

Taking the cube root of both sides, we get

r = ∛3375 = 15 in

The radius of this sphere is 15 in.