According to Archimedes' principle, the buoyancy force is equal to the weight of fluid...

According to Archimedes' principle, the buoyancy force is equal to the weight of fluid displaced by the submerged portion of the object. For the sphere depicted in Fig. P5.22, use bisection to determine the height, h, of the portion that is above water. Employ the following values for your computation: r = 1 m, ρs = density of sphere = 200 kg/m3, and pw = density of water = 1,000 kg/m3. Note that the volume of the above-water portion of the sphere can be computed with