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SOLVED: 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 Figure P5.22, use bisection to determine the height of the portion that is above water. Employ the following values for your computations: density of sphere (ρ) = 200 kg/m³ and density of water = 1,000 kg/m³. Note that the volume of the water portion of the sphere can be computed with V = (πh²/3)(3r - h).
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