2.15. A right circular cone of base radius R, height H, and known density pg, floats base down in a liquid of unknown density pf. A heighth of the cone is above the liquid surface. Derive in terms of...

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Extracted text: 2.15. A right circular cone of base radius R, height H, and known density pg, floats base down in a liquid of unknown density pf. A heighth of the cone is above the liquid surface. Derive in terms of p,, R, and h/H, simplifying it algebraically to the greatest possible extent. [Recall Archimedes' principle, stated in the preceding problem, and note that the a formula for Pf volume of a cone equals (base area) (height)/3.]