A softball has a volume of 125/6π cubic inches. Find the radius of the softball.

The radius of the softball is 2.5 inches

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We know the volume is 125/6 pi

Substituting in

125/6 pi = 4/3 pi r^3

Divide by pi on each side

125/6 pi / pi = 4/3 pi / pi r^3

125/6 = 4/3 r^3

Multiply by 3/4 on each side to isolate r

125/6 * 3/4 = 3/4 * 4/3 r^3

125/8 = r^3

Take the cube root on each side

(125/8) ^ 1/3 = (r^3) ^ 1/3

5/2 = r

2.5 = r

The radius of the softball is 2.5 inches