﻿ A cork of density 0.18gm/cc floats in liquid of density 1.44 gm/cc with 20cc of volume inside the liquid. Find the mass and volume of the cork. from Physics Mechanical Properties of Fluids Class 11 Manipur Board

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Mechanical Properties of Fluids

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A cork of density 0.18gm/cc floats in liquid of density 1.44 gm/cc with 20cc of volume inside the liquid. Find the mass and volume of the cork.

Given,

Density of the cork, $\mathrm{\sigma }$ = 0.18 gm/cc

Density of liquid,$\mathrm{\rho }$ = 1.44 gm / cc

Volume of liquid, V = 20 cc

Now, according to the law of floatation,

Weight of cork = Weight of liquid displaced by cork.

Therefore mass of the cork is given by,

Volume of the cork, ${\mathrm{V}}_{\mathrm{c}}=\frac{\mathrm{m}}{\mathrm{\sigma }}=\frac{28.8}{0.18}=160\mathrm{cc}$
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