# Cylinder Inscribed In Cone

- Author:
- Tim Brzezinski

The applet below shows a right circular cylinder inscribed inside a right circular cone.
Interact with this applet for a few minutes.
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?
Use calculus to formally prove what this applet informally suggests.