A sphere of radius $10$ inches is inscribed in a cone with a base of radius $15$ inches. In cubic inches, what is the volume of the cone?

V = 2700 cubic inches

Explain?

BO = 10 BC = 15

∠ACB = 2(arctan(10/15))

AB = tan(∠ACB) * 15

V = 1/3((BC)^{2}pi * AB)