Can Cavalieri's Principle be applied to a Pyramid and a Cylinder? I know that Cavalieri's Principle makes it so that if two prisms/cylinders, or two pyramids/cones have the same area at a cross section parallel to the base, and they have the same height, they also have the same volume. However, does it still apply to a pyramid/cone and a prism/cylinder?
Research:
All examples of Cavalieri's Principle show two prisms/cylinders or two pyramids/cones. They never get mixed. I have found that on Wolfram Mathworld it is defined as "...the same distance from their respective bases are always equal..." implying that a cone and a prism wouldn't fall under this since the prism's cross-section would remain constant, but the cone's would increase or decrease based on height.

Cavalieri's principle is an intuitive way of describing Fubini's theorem on multivariate integrals. Archimedes has done marvelous things with it, e.g., a derivation of the volume formula for a sphere using a sphere, a cylinder, and a cone in a unique argument. See the first example here:  https://en.wikipedia.org/wiki/Cavalieri%27s_principle
