The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve $y=0.2 x^2$ and below the line $y= 220$. (Here, distances are measured in meters.) The water level is $24$ meters below the top of the dam. Find the force (in Newtons) exerted on the dam by water pressure.

(Water has a density of $1000 \textrm{kg}/\textrm{m}^3$, and the acceleration of gravity is $\displaystyle 9.8 \textrm{m}/\textrm{sec}^2 .$ )

Answer: