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A cylindrical glass cup has mass m and height h. When the cup is full, it can hold a mass of water equal to 6m. When empty, the cup's center of mass is a height h/4 from the bottom. Find the height of water in the cup such that the cup is in the most stable state. (Stability is related to the position of the system's center of mass. You may ignore the thickness of the bottom of the cup.)

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