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?

Just checking, my solution of 2-sqrt(2) = about 0.5858
sphere = pi/6 = about 0.5236
cylinder = pi/4 = about 0.7854

So looks good on that count.

Odd that pi doesn't make an appearance in the answer though...

Posted by Joel on 2006-11-04 22:58:46