A window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the

A window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the

Show that the height of the right circular cylinder of greatest volume which can be inscribed in a right circular cone of height h and radius r is one-third of the cone, and the greatest volume of the cylinder is 49 times the volume of the cone.