
Valerie G.
asked 08/06/20Sand is falling off a conveyor belt onto a conical pile. The diameter of the pile is four times the height. Write an equation for the volume of the pile in terms of the height.
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1 Expert Answer

William W. answered 08/06/20
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V = 1/3πr2h
V = 1/3π(d/2)2h
V = 1/3π(d2/4)h
V = 1/12πd2h
V = 1/12π(4h)2h
V = 1/12π(16h2)h
V = 16/12πh3
V(h) = 4/3πh3
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Mark M.
The volume formula is already in terms of height.08/06/20