Question

Mike and his friend were playing 2 on 2 at the public court. They were using a homemade basketball and the volume of the ball was 288p. A regulation basketball has a circumference between 29.5-30 in. Can this ball be used in a regulation basketball game?

Answer 1

Volume = (4/3) pi r^3

288 pi = (4/3)pi r^3

r^3 = 288 / (4/3)  =  216

r  = 6 ins.

Circumference of the ball = 2 pi r  = 2*pi*6 =  37.70 in   so this ball cannot be used in  a regulation game of basketball.