Question

A solid sphere of radius 5 cm floats in water. If a maximum load of 0.1 kg can be put on it without wetting the load, find the specific gravity of the material of the sphere

Answer 1

We know that Mg + mg = V pg.

Hence, M + m = V*p. M + 0.1 = {4 x 22/7 x (0.05) ^3 x 10^3}/3.

Therefore, M = 0.4233.

Hence, the density of the sphere is ps = 0.4233/0.5233 = 0.808 or 0.81 kg m^-3.