Napkin Rings

A Napkin Ring can be formed using the following steps: Start with a sphere of any diameter d Drill a hole through the sphere such that the remainder of the sphere is of height hImage Credit: Wikipedia Interestingly, the volume of the band is dependent only on the height h and is independent of the diameter of the original sphere. In an extreme example, if you could take a sphere the size of the earth and drill a hole through it with height of 0.5 inches, it would have the same volume of the ring