Originally Posted by Wesupportgifted
This week we looked at the formula for the volume of a cone and pyramid as always being one-third of that of a cylinder and rectangular prism, respectively, given the same dimensions. But, the materials do not tell the student who discovered that and how. So, if we have time we can look it up on our own. Was there a sculpture and they chiseled it and took the measurements? We don't know.

I'd love to see a non-calculus explanation for the 1/3 formula. (It comes from integrating x^2.) DS's k12.com course showed a cube split into 3 congruent pyramids, but that approach doesn't extend to other cones.