A right circular cone of base radius R, height H, and known density ρs floats base down in a liquid of unknown density ρf . A height h of the cone is above the liquid surface. Derive a formula for ρf in terms of ρs, R, and h / H, simplifying it algebraically to the greatest possible extent. [Recall Archimedes' principle, stated in the preceding problem, and note that the volume of a cone equais (base area)(height)/3.] | Numerade
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