A solid whose plan view and front and side elevations resembled a multiplication symbol (x) bounded by a circle may be viewed here.

It is the third on that page.

The object can be created by imposing 3 cylinders on a cube in each of the x, y and z dimensions.

If the edges of the cube are of unit length, What is the volume of this object?

How mundane (as being simple) a solution can we get?

48 * integral from 0 to pi/4 of r^2*sin(theta) dtheta = 12(cos(0)-cos(pi/4) = 12-6*sqrt(2) square inches.

Posted by Joel on 2006-11-10 08:30:35