Find the radius of sphere with a volume of 1372π/3 cubic feet.

The radius of the sphere is 7m

Step-by-step explanation:

Given

Volume of a sphere = 1372π/3 m³

Required

The radius.

The volume of a sphere is calculated using the following formula.

V = 4/3 πr³

Where V = volume of the sphere and r represents it's radius.

By substitution;

1372π/3 = 4/3 πr³

Multiply both sides by 3

1372π = 4πr³

Divide through by 4

343π = πr³

Divide through by π

343 = r³

Take cube root of both sides.

r = 7.

Hence, the radius of the sphere is 7m