A right cylinder has height h and radius r. It is sliced by a plane that is tangent to one circular base at A and intersects the other at diameter BC. What is the volume of slice ABCD?

Note that BO=CO=DO=r, AD=h, BC is perpendicular to DO, and AD is perpendicular to DO.

(In reply to single integral by Charlie)

Thanks for providing the link to Wolfram's The Integrator.  That could come in handy sometime.

Can you also turn the cylinder on it's side and solve it with another single integral?

Posted by Mindy Rodriguez on 2005-11-25 18:21:03