A solid body floats in a liquid at a temperature being completely submerged in it

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A solid body floats in a liquid at a temperature

t = 50^\circ \text{C}

being completely submerged in it. What percentage of the volume of the body is submerged in the liquid after it is cooled to

t_0 = 0^\circ \text{C}

, if the coefficient of cubic expansion for the solid is

\gamma_s = 0.3 \times 10^{-5} \, ^\circ\text{C}^{-1}

and of the liquid

\gamma_l = 8 \times 10^{-5} \, ^\circ\text{C}^{-1}