The cylinder x^2 + y^2 = x divides the unit sphere S into two regions S1 and S2, where S1 is inside the cylinder and S2 outside. Find the ratio of the Areas A(S2)/A(S1).
I know the surface area formula, but I can't seem to find a parametrization of the said surfaces that works! The book gives the answer (Pi+2)/(Pi-2) but there is no procedure showing how to get there.
Thanks in advance,