A right triangle whose hypotenuse is [math]\sqrt{3}[/math] is revolved around one of its legs to generate a right circular cone. Drag the slider to see how the rotation of the triangle forms the cone.[br] [br]What values of [math]h[/math] and [math]r[/math] maximize the volume of the cone?[br]What is the maximum volume of the cone?

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