A sphere of diameter and mass floats in a bath of liquid

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

Problem

A sphere of diameter

7\,\mathrm{cm}

and mass

266.5\,\mathrm{g}

floats in a bath of liquid. As the temperature is raised, the sphere just sinks at a temperature of

35^\circ\mathrm{C}

. If the density of the liquid at

0^\circ\mathrm{C}

1.527\,\mathrm{g\,cm^{-3}}

, find the coefficient of cubical expansion of the liquid. Ignore expansion of the sphere.