Question

A regulation size basketball has a volume of 455.9 cubic inches. The formula for a sphere is V= 4/3*Pi*r^3. What is the radius of the basketball? If the circumference of a basketball is 29 inches, is it a regulation size basketball.

Answer 1

V = 4/3 pi r^3

455.9 = 4/3 pi r^3 (multiply both sides by 4/3)

341.925 = 3.14 * r^3

r^3 = 108.83

r = 4.77

Hope this helps