The Archimedes Proof


Demonstration of the proof.
To make Archimedes Computation of the volume of the sphere more accessible, we built a model which can be admired in google earth. We fill the half sphere with water. Letting it drop down into the complement of the cone in a cylinder shows that the volume of the half sphere is the differeence between the volume of the cylinder and the cone, which is pi-pi/3-2pi/3. The proof object was generated in Mathematica and 3D printed.