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(8 points) A right circular cone is to be inscribed in another right circular cone of volume 6m and altitude 7m, with the same axis

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(8 points) A right circular cone is to be inscribed in another right circular cone of volume 6m and altitude 7m, with the same axis and with the vertex of the inner cone touching the base of the outer cone. Draw a picture of the cones. What must be the altitude of the inscribed cone in order to have the largest possible volume

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