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First, you have to understand that such pieces cannot completely fill the container. They will probably fill it more efficiently if they are neatly packed; the most efficient packing for a large container is if, within each layer, each row is offset half a space against its neighbours: o o o o When you write `1" round' do you mean "round and 1" across", "round and 1" in radius" or "round and 1" in circumference?" I'm going to assume the first. 1" is about 2.54 cm so that's a 1.27 cm radius and a volume of pi r2 h = 2.53 cm3. Dividing by the packing fraction, each cylinder actually needs about 2.8 cm3 living space. Now, 3x3x2 ft3 is about 510 000 cm3 [use Google for unit conversions!] which is enough space for about 180 000 cylindrical slugs. -RD PS: A rougher but easier estimate: a square packing arrangement o o o o gives (3x12) * (3x12) * (2*5*12) ~ 155 000 slugs. Good Hunting, | ||||||||||||
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Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. |