The plane of figure, are

Question

The horizontal and vertical hydrostatic forces F_x and F_y on the semi-circular gate, having a width ‘w’ into the plane of figure, are   

                                                    

     (a) F_x = $\rho$ghrw and F_y = 0     

      (b) F_x = 2$\rho$ghrw and F_y = 0

      (c) F_x = 2$\rho$ghrw and F_y = rgwr²/2

      (d) F_x = 2$\rho$ghrw and F_y = prgwr²/2