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.
Seeing as Bractals and Charlie have already posted the solution, I'd simply like to comment that Brian did a terrific job laying out the problem. I had as much fun drawing the picture as I did finding the solution.
Good Description
