Read post #4 in this thread: http://www.mathhelpforum.com/math-he...lume-bead.html
Hi all,
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,
Julian
Read post #4 in this thread: http://www.mathhelpforum.com/math-he...lume-bead.html
Thanks for the quick reply.
Aren't those two different problems though? One is finding volume and my problem is surface area of some funky surfaces...
I presume I'd have to use some double integral of the norm of the vector normal to the surface (easily obtained after a parametrization of the surfaces in question is achieved), or is there something I'm missing here?