[color=#000000]The applet below shows a right circular cylinder inscribed inside a right circular cone.[br]Interact with this applet for a few minutes. [br][br]Given any right circular cone with a right circular cylinder inscribed inside it, what percent of the volume of the cone does such a cylinder with maximum possible volume occupy? [br][br]Use calculus to formally prove what this applet informally suggests. [br][/color]