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Pastimes : Time for anything Mental?

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To: FuzzFace who wrote (65)7/1/1997 4:13:00 PM
From: Fred McCutcheon   of 69
 
You have the answer, but the reasoning to get there is somewhat different.

If the problem has a solution then the diameter of the drilled hole must cancel out in the calculation. Therefore we can assume a diameter of zero. The answer is then as given by you. Congratulations!!

I first saw this problem in Martin Gardener's column in Scientific American when I was at university studying mathematics. It drove our whole class crazy, since none of us reasoned it out, at least not until brute forcing the answer with calculus and solid geometry. Once the answer appeared as the volume of a 6" diameter sphere chagrin overtook us.

Fred McCutcheon
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