Two identical cylindrical vessels with their bases at the same level, each contains a liquid of density $ 13 \times 10^3 \,kg/m^3 $ . The area of each base is $ 4.00\, cm^2 $ , but in one vessel, the liquid height is $ 0.854 \,m $ and in the other it is $ 1.560\, m $ . Find the work done by the gravitational force in equalizing the levels when the two vessels are connected.