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)