Archimedes OTSC II Proposition 8

If a sphere be cut by a plane not passing through the center into two segments ABB' and A'B'B of which A'B'B is the greater, then the ratio,
segment A'BB': segment ABB' is less than (surface of A'BB')^2: (surface of ABB')^2
segment A'BB': segment ABB' is greater than (surface of A'BB')^3/2: ( surface of ABB')^3/2