Proportions between polyhedra volumes

Sphere in cube. Ratio: p / 6 (valid also for the areas)
Trigonal pyramid in a trigonal prism. Ratio: 1 / 3
Tetragonal pyramid in a tetragonal prism (cube).Ratio: 1 / 3
Cone in a cylinder. Ratio : 1 / 3 (Democritos´ discovery acc. to Archimedes)
(See also Archimedes´ gravestone ( 1 , 2 , 3 )