You already know that the volume of all solids that have the shape of a prism or a cylinder with base area and height is equal to .
The volume of a cuboid is therefore .
The volume of a straight cylinder is therefore .
You already know that the volumeof all solids that have the shape of a pyramid or a cone with base area and height is equal to .
The volume of a straight coneis therefore .
According to Cavalieri's principle this is also true for slanting prisms, cylinders
and cones, als long as is perpendicular to the base (and top).
The volume of a sphere is: .