Optimization problem - Find the radius and the height of the right-circular cylinder of largest volume that can be inscribed in a right-circular cone with a radius 6in. and height 10in.
Cylinder inside of a Cube : Ratio of Volumes - A cylinder is inscribed in a cube. That cylinder has a sphere inscribed inside of it. What is the ratio of the volume of the sphere to the volume of the cube?
HINT: Let X be a side of a square on t ...