Part of a sculpture is a stone sphere with a volume of 36pie cubic feet. what is the radius, in feet, of the stone sphere

r = 3 ft

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)πr³.

Here the volume is 36π ft³ (notice, please:  it's pi, not pie)

Thus,                        36π ft³ = (4/3)πr³  

We must solve for r³ and then for r.

Dividing both sides by π results in 36 ft³ = (4/3)r³.

Mult. both sides by (3/4) results in r³ = (3/4)(36 ft³)  =  27 ft³

Finally, take the cube root of both sides:

∛(r³) = ∛(27 ft³)    ↔    r = 3 ft

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