Please consider a trough whose sides form half a cylinder. The diameter of the half$-$circle ends

of the trough are $30\mathrm{.}0$ cm and the length of the trough is $70\mathrm{.}0$ cm$.$ The trough is filled with

water.

$($a$)$ Determine the force the water exerts on one half$-$circle end of the trough.

$($b$)$ Please find the torque of the force due to the water on the half$-$circle about the diameter

as shown.