A centrifugal pump is delivering water from an underground tank to an overhead reservoir against a static head of 35 m through a 2 km long, 250 mm diameter pipe. The head-discharge characteristic of the pump is given by
\[ H = 140 - 9000 Q^2 \]
where H is the head (in m) generated by the pump and Q is the discharge (in m3/s) of the pump.
Neglecting all minor losses, the head (in m) generated by the pump is (rounded off to the nearest integer).
Use: Darcy-Weisbach friction factor f = 0.04
Acceleration due to gravity = 9.81 m/s2
\(\pi\) = 3.14