A cylinder is inscribed in a right circular cone of height 2 and radius (at the base) equal to 3.5. What are the dimensions (radius and height) of such a cylinder which has maximum volume?
The radius of the cylinder is 3.5 and the height is 4. The volume of the cylinder is equal to the volume of the cone, which is (1/3)πr^2h = (1/3)π(3.5)^2(4) = 61.5π.
