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.

Surely ABCD is a pyramid with a TRIANGULAR base BCD? Then the volume is given by base * height /3. BCD is a right angled isosceles triangle with hypotenus 2r and area r^2, therefore the volume of ABCD is (h r^2)/3. What am I missing, Charlie and Bractals have got rectangular sections?

Posted by goFish on 2005-11-26 04:51:52