Maximum Volume of a Cylinder in a Cone
Use this applet to find the maximum volume of a cylinder inscribed inside a right circular cone. You can specify the radius and height of the cone. To determine the maximum volume, drag the point E along the cone, and observe the values for volume.
For a cone of radius 6 and height 9, what is the maximum volume of an inscribed cylinder? How do we solve for this value using the Extreme Value Theorem?