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4 Given a right circular cone you put an upside down cone inside it so...

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Calculus

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4 Given a right circular cone you put an upside down cone inside it so that its vertex is at the center of the base of the larger cone and its base is parallel to the base of the larger cone If you choose the upside down cone to have the largest possible volume what fraction of the volume of the larger cone does it occupy Let H and R be the height and radius of the large cone let h and be the height and radius of the small cone Use similar triangles to get an equation relating and r The formula for the volume of a cone is V r h

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