I remember that the infamous science-kook Archimedes Plutonium once published his own (presumably unique and wrong) solution for this problem as part of his 'universe as an atom' thread. I can't find it on Mr. Plutonium's mess of a website, though.
Maybe I am reading too much into TM's message. :) >> Appendix: A math puzzle. Imagine a solid sphere. Maybe the sphere is >> made of plutonium. A drill bit is lowered onto the sphere, going right >> through the center, centered on the center (that is, the drilled-out >> core is not off-center in any way. What is left is a sphere with a >> cylindrical section (and the two end caps) removed. The height of the >> remaining part of the sphere is 10 centimeters. What is its volume? > I've concluded that you can't answer Tim's riddle > without knowing the radius of the drill --but I may > put myself open to ridicule for suggesting this.