# Water pouring proofs

- The Pythagorean theorem
- The volume of a cone is 1/3 the volume of a cylinder with the same radius
- The volume of a cone is 1/2 the volume of a sphere with the same radius
- The volume of a pyramid is 1/3 the volume of a rectangular prism with the same base and height
- The volume of a triangular pyramid is 1/3 the volume of a triangular prism with the same base and height.
- The volume of a sphere is 2/3 the volume of a cylinder with the same radius and height