The volume of a sphere is 62,500 ft³. What is the diameter of this sphere?

Question

 Round your answer to the nearest hundredth as necessary.

Answer 1

Volume of a sphere: 4/3·π·r^3

V= 62500

4/3πr^3 = 62500

(3/4) 4/3πr^3 = 62500 (3/4)

πr^3 = 46875

πr^3 = 46875

—— ———

π π

r^3 = 14920.78 ———————> take cube root of 3 on both sides

r = 24.62

diameter = 49.24 ft