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Pastimes : Time for anything Mental?
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To: Fred McCutcheon who wrote (23)6/28/1997 8:24:00 PM
From: FuzzFace   of 69
 
> A circular hole is drilled through the center of a solid sphere. The height of the remaining piece is 6 inches. What is its volume?. <

I've heard this one, but can't remember for sure. I vaguely recall reading something like: the volume of the remaining piece is constant regardless of the diameter of the sphere, because as the sphere grows, the hole has to get larger to keep the remaining piece's height constant. I assume the height is measured from ring to ring. So as the diameter of the hole shrinks to 0, the diameter of the sphere must approach the height. Thus the height = diameter = 6" for an infinitesmally small hole, making the radius 3". So the volume is 4/3 * pi * r**3 = 4/3 * 3.14 * 3**3 ~ 113.1

Am I close, or did I remember some other problem's solution?
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