A hydrometer is a device that measures the density of a liquid. The one shown in the figure has a cylindrical bulb of radius attached to a cylindrical stem of radius and length . When placed in a liquid, the device floats as shown in the figure with a length of stem protruding. Given that the mass of the hydrometer is , find the density of the liquid. Express your answer in terms of , , , and (enter M for , R for , r for , l for , h for and pi for ).

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