The polar ice caps contain about 2.48 x 10^19 kilogram of ice. This mass contributes negligibly to the moment of inertia of the earth because it is located at the poles, close to the axis of rotation. Find what would be the change in the length of the day if the polar icecaps were to melt and the water was distributed uniformly over the surface of the earth? (The moment of inertia of a spherical shell of mass m and radius r is (2mr^2)/3.