Inscribing a right circular cone inside a sphere

A right circular cone is inscribed inside a sphere of radius 3. [br] [br]Drag the [color=#0000ff][b]blue point[/b][/color] to change the shape of the cone. What is the largest possible volume of such a cone?
[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]

Information: Inscribing a right circular cone inside a sphere