First, find volume of original sphere. volume of sphere=2/3 volume of smallest cylinder it could have been cut from. Assuming 6 inches is all the way through the hole, the diameter of sphere, and therefore the original cylinder, is 6 inches. so to find volume of cylinder, we set up pi times 3

^{2} times 6. so then pi times 54. I'll just leave it in terms of pi to be most exact. So, Archimedes found out that volume of sphere=2/3 that of cylinder. So now we have 32pi=volume of sphere. So answer would be 32p-(6pr^2), p being pi, and r representing missing radius of hole. This is because missing volume would be much different depending on whether diameter of hole was 6m or 600.

Restatement of answer: 32p - 6pr

^{2}Any problems with my logic, tell me. And yes, I kno I found volume of sphere different than most people would. Turned out we didn't need original volume.

**Edited by NickFleming, 21 July 2010 - 05:42 PM.**