Find the volume of a sphere with a circumference of 48 pi ft. Write your answer in terms of pi.

18,432 pi cubic ft

Step-by-step explanation:

This problem can be solved using formula to find circumference and volume of sphere

for any sphere with radius r

circumference of sphere is 2 * pi * r

volume of sphere is found by using formula 4/3 * (pi*r^2)

Given circumference of sphere is 48 pi ft

therefore

2 * pi * r = 48 pi ft

r = 48 pi ft / 2 * pi = 24 ft

substituting the value of r is formula of volume of sphere we have

volume of sphere is = 4/3 * (pi*24^3) = 18,432 pi cubic ft