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 equals (base area)(height)/3.]

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 equals (base area)(height)/3.]

EBK A SMALL SCALE APPROACH TO ORGANIC L

4th Edition

ISBN:9781305446021

Author:Lampman

Publisher:Lampman

Chapter82: Physical Constants Of Liquids: The Boiling Point And Density

Section: Chapter Questions

Problem 5P

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