Circles and PiSphere Sum

If you compare the equations for the volume of a cylinder, cone and sphere, you might notice one of the most satisfying relationships in geometry. Imagine we have a cylinder with the same height as the diameter of its base. We can now fit both a cone and a sphere perfectly in its inside:

Notice how, if we add upsubtractmultiply the volume of the cone and the sphere, we get exactly the volume of the cylinder!