Problem: A hydrometer consists of a spherical bulb and a cylindrical stem with a cross-section area of 0.400 cm2. The total volume of bulb and stem is 13.2 cm3. When immersed in water, the hydrometer floats with 8.00 cm of the stem above the water surface. When immersed in an organic fluid, 3.20 cm of the stem is above the surface. (Note: This illustrates the precision of such a hydrometer. Relatively small density differences give rise to relatively large differences in hydrometer readings.) Find the density of the organic fluid.

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A hydrometer consists of a spherical bulb and a cylindrical stem with a cross-section area of 0.400 cm2. The total volume of bulb and stem is 13.2 cm3. When immersed in water, the hydrometer floats with 8.00 cm of the stem above the water surface. When immersed in an organic fluid, 3.20 cm of the stem is above the surface. (Note: This illustrates the precision of such a hydrometer. Relatively small density differences give rise to relatively large differences in hydrometer readings.) Find the density of the organic fluid.