a solid body floats in water 1/6th of its volume above the surface . what fraction of its volume will project out if it floats in liquid of density 1020 kq/m/m/m ?
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Using law of flotation
Vwater displaced = V-V/6 = 5V/6
Vsolid xPSolidxg = v water displaced x p water x g
V x P solid x g = (5V/6) x p water x g
Psolid = (5000/6) kg/m3
When liquid of 1020 kg/m3 is used
V solid x P solid x g = V liquid displaced x p liquid x g
V (5000/6) = V liquid displaced x 1020
V liquid displaced = .81V
So .81V is inside liquid
V- 0.81V = 0.19V will project upward
Or (19/100) V
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