Cylinder Inscribed Inside Sphere

[color=#000000]Suppose a cylinder is inscribed inside a sphere of radius r.[br]What is the largest possible volume of such a cylinder? [br]And what percent of the volume of the sphere does this cylinder with maximum volume occupy?[br][br]Use this interactive figure to help determine the reasonableness of your own work. [/color][br][color=#000000][br][/color]
Quick (Silent) Demo

Information: Cylinder Inscribed Inside Sphere