"A circular "pressure release gate" is located in the vertical face of a dam. The radius of the gate is 2 metres and the gate is positioned so that its top lies 5 metres below the surface of the water held in the reservoir behind the dam.Find the total fluid force acting on the door of the gate, when it is in a fully closed position.

(HINT: In order to evaluate the integral(s) you obtain, it may be useful to use the formula for the area of a disk of radius "R" where x=Rsinθ and a simple symmetry argument. )"