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. [br][br]Drag the [b][color=#1e84cc]blue point [/color][/b]to form inner cones with various dimensions. What is the largest possible volume this orange cone can have?[br]

[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]