The vat shown in the accompanying figure (click on graph to enlarge) has a triangular side of length 4 m and depth 3 m, and is $\small{h=}$12 m long, contains water to a depth of 1 m. Find the work required (in Joules) to pump all the water to the top of the vat. [Use 9810 N/m$^3$ as the weight density of the water.]

Work =J