CraigD Posted March 7, 2008 Report Share Posted March 7, 2008 Assuming the cylinder is perfectly round, why wouldn't the liquid represent exactly 1/4 of the total volume?Evnision the following: Split the cylinder vertically down the middle. Split the half-cylinder diagonally. Keeping the two pieces together, slice then horizontally into thin washers (the “empty” piece’s washers have 2 flat surfaces, the “water” piece’s, only 1). If the volume of liquid is 1/4 of the original cylinders, it must be 1/2 of the half cylinder, so the volume of the empty piece and the water piece must each be 1/4. If you arrange from smallest to largest the washers for each piece, however, and compare them, you’ll find that the empty piece’s are slightly larger, having the same height and width, but always a slightly greater length. The empty piece’s washers also have a “bevel” the water piece’s don’t, but if you make them thin enough, this becomes insignificant. Quote Link to comment Share on other sites More sharing options...
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