the volume of a spherical ball is 2304π cubic centimeters. Find the radius of the ball

Answer 1

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere.

Given that the volume of the sphere is 2304π cubic centimeters, we can set up the equation:

(4/3)πr^3 = 2304π

Dividing by π on both sides, we get:

(4/3)r^3 = 2304

Multiplying by 3/4 on both sides:

r^3 = 1728

Taking the cube root of both sides:

r = 12

Therefore, the radius of the spherical ball is 12 centimeters.