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)2pi * AB)
