Halliday, Resnick & Walker — Fluids: Problem 31

31 Two identical cylindrical vessels with their bases at the same level each contain a liquid of density \(1.30 \times 10^3 \text{ kg/m}^3\). The area of each base is \(4.25 \text{ cm}^2\), but in one vessel the liquid height is \(0.854 \text{ m}\) and in the other it is \(1.560 \text{ m}\). Find the work done by the gravitational force in equalizing the levels when the two vessels are connected.