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Hi Steven, I hope my diagram is correct. The distance from C to B is 2 feet and the angle CAB is 60 degrees. The volume of a cone is 1/3 π r2 h here π is approximately 3.1416, r is the radius (2 feet) and h is the height which is the distance from A to C in the diagram. The tangent of the angle CAB is |CB|/|AC| and hence
and hence
Hence the volume of the silo is
To find the weight of the contents you need the density of the contents in pounds per cubic feet. Multiply the volume by the density to obtain the weight in pounds. I hoe this helps, | ||||||||||||
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Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. |