When a cube of wood floats in water, 60% of its volume is submerged. When the same cube floats in an unknown fluid 85% of its volume is submerged. Find the densities of wood and the unknown fluid.
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Solution
Fraction of volume immersed is given by f=ρsρI In first case 0.6=ρsρw=ρsI or ρs=0.6 g/cm3=density of wood In second case 0.8=ρsρI=0.6ρe or ρI=0.60.85 =0.705 g/cm3