Cylinder Fun

One of the many oddball questions festering in the back of my skull for the last year had to do with finding the volume of a cylinder. The most common methods in calculus for determining the volume of such a solid make use of discs or shells; I've never found these very satisfying. The reason for this is I prefer to think about solids of revolution as being composed of infinitely many wedge-shaped slices of infinitesimal volume. This is far more intuitive to me than discs and shells, and the idea works for many other solids.