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Sep 5, 2010 at 20:09 comment added Aaron Meyerowitz I think I might have seen it in vol 1 of Mathematics and Plausible reasoning by George Polya. A similar result holds for paraboloids and other conics as I recall. I suppose a cone is easy (given the cylinder) since it has the same volume as the cylinder meeting its equator.
Sep 5, 2010 at 0:52 comment added Michael Hardy I'm going to have to think about this one..... If this works, it seems to me that essentially the same reasoning could work for other geometric problems, even though I don't know right now what those would be.
Sep 1, 2010 at 14:56 history edited Aaron Meyerowitz CC BY-SA 2.5
same idea, simplified
Sep 1, 2010 at 8:03 history edited Aaron Meyerowitz CC BY-SA 2.5
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Sep 1, 2010 at 7:44 history answered Aaron Meyerowitz CC BY-SA 2.5