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Firstly, I would drop the assumption that the pile must be elliptical; a truck should be able to dump gravel fairly uniformly over a rectangle. Now, the angle of repose will depend on many things, but I think 30 degrees or better is a safe assumption. That means the height of the pile will be at least 1/4 its minimum width. A pyramid 16' x 16' x 4' contains about 12.5 yards of gravel, 16 x 16 x 4 x (1/3) x (1/27) so you should be OK, if the driver starts dumping in the middle of the drive and comes forward just a little as it's tipping. With damp crusher-run gravel I'm guessing you might get close to 45 degrees and it might actually need spreading to the side if the truck bed is low. Good luck! | ||||||||||||
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Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. |