Note: $222125692$ is used as a variable, $\text{'}xx\text{'}.$

$1$ Constructing a dam to store water in a catchment area, especially one with a curved surface, involves several intricate steps and engineering processes. Outlet works, including gates and valves, are installed to control the release of water for downstream use while maintaining reservoir levels.

A dam is constructed in Sydney rainwater catchment area to store water $($see figure $1)$ up to a maximum height of $xxmm(222125692)mm.$ The water pressure acts on the curved face of the dam, which is shaped according to the function $y=f(x).$

$y=\frac{x^2}{4\mathrm{.}5}$

Determine:

the volume of water stored if the length of the dam is $15m$ length.

the magnitude of the force $(kN)$ acting on the dam when the reservoir has the maximum capacity. Note that the area bounded by a curve $y=f(x)$ is: ${\displaystyle \underset{y_1}{\overset{y_2}{}}}xdy$

Note consider XX is $25692$ as the height of water level $($mm$),$ see Figure$-1.$