A pump is installed in a $10-cm$ pipeline and transports water from reservoir $A$ to a higher reservoir $(B)$ as shown in the Figure. The head loss from $A$ to the pump is four times the velocity head, and the head loss from the pump to $B$ is seven times the velocity head. The pressure head measured at the inlet $($suction side$)$ of the pump is $-6m.$ Calculate the pressure head the pump is delivering under these operating conditions. Draw the EGL and HGL$.$

Viscosity $=1{10}^{-6}\frac{m^2}{sec}$

Water Vapor Pressure $=2900Pa($abs$)$

Water unit weight $=9810\frac{N}{m^3}$

Atmospheric Pressure $=101,000Pa$