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 re: Beg to differ by pcbouhid)

I considered the semi-circle but then do we not just have a pyramid with a semi-circular base. (Half of a cone).

Vol = (1/3)((1/2) pi  r^2) h.

Surely if there are partly circular sections then pi will appear somewhere in the volume formula.

Posted by goFish on 2005-11-26 07:15:55