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A plastic container is in the form of a right circular cylinder with a large conical opening. When it is filled level with the bottom of the opening, it can just be turned upside down without spilling the content. Prove that the depth of the cone is three-fifths the depth of the container.
Last edited by MoyMarian (2009-01-15 17:16:05)
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Let
be the depth of the cone be the depth of the cylinder be the cross-sectional areaThe volume of the cone is
. Thus the volume of the water in the upside-down cone is .Offline
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