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?
1 answer
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.