A hydrometer consists of a spherical bulb and a cylindrical stem with a Cross-sectional area of 0.400 cm' (see Fig. 14.13a). The total volume of bulb and stem is 13.2 cm'. When immersed in water, the hydrometer floats with 8.00 cm of the stem above the water surface. When the hydrometer is immersed in an organic fluid, 3.20 cm of the stem is above the surface. Find the density of the organic fluid. (Note: This illustrates the precision of such a hydrometer. Relatively small density differences give rise to relatively large differences in hydrometer readings.)