The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve $\displaystyle {y}={0.8}{x}^{{2}}$ and below the line $\displaystyle {y}={220}$. (Here, distances are measured in meters.) The water level is $\displaystyle {28}$ meters below the top of the dam. Find the force (in Newtons) exerted on the dam by water pressure. (Water has a density of $\displaystyle {1000}\frac{\text{kg}}{{m}^{{3}}}$, and the acceleration of gravity is $\displaystyle {9.8}\frac{{m}}{{{\sec}^{{2}}}}$ .)




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