Answer:
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
