Maximizing the volume of a right circular cone inscribed in another right circular cone
Two right circular cones are oriented so that one is upside down inside the other. The outer cone has radius = 6 ft and height = 12 ft. The bases of both cones are parallel, and the vertex of the smaller cone lies at the center of the larger cone's base.
Drag the blue point to form inner cones with various dimensions. What is the largest possible volume this orange cone can have?
Developed for use with Thomas' Calculus, published by Pearson.