If a basketball has a volume of 12,114.7 cm3, what is the distance across of a basketball

All we need to do is start with the volume formula. Then, input the volume and solve the equation for the radius. And double it to get the diameter.

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

12114.7 = (4/3) pi (r^3) Divide both sides by (4/3) and pi

2893.64 = r^3 Take the cube root of both sides

14.25 = r

So the diameter is about 28.5 cm (14.25 x 2 = 28.5)