A dam on a river is built so that the wall facing the water is shaped like the region above the curve $y=0\mathrm{.}1x^4$ and below the line $y=280.($Here$,$ distances are measured in meters.$)$ The water level is $38$ meters below the top of the dam. Find the force $($in Newtons$)$ exerted on ham by water pressure. $($Water has a density of $1000\frac{kg}{m^3},$ and the acceleration of gravity is $9\mathrm{.}8\frac{m}{se{c}^2}*)$