A sphete of deamrter 7.0 cm and mass 266.5 g float in a bath of liquid. As the temperature is raised, the sphere begins to sink at a temperature of 35^0 c. If the density of liqued is 1.527 g cm^(-3) at 0^c, find the coeffiecient of cubical expamsion of the liquid. Neglect the expansion of the sphere.