$4\mathrm{.}2\mathrm{.}10.$ Water flows in a new $20-cm-$diameter, $300-m-$long ductile iron pipe between reservoirs A and $B,$ as shown in Figure P$4\mathrm{.}2\mathrm{.}1.$ The pipe is elevated at $S,$ which is $150m$ downstream from reservoir $A.$ The water surface difference between the two reservoirs is $25m.$ Determine the head that should be provided by a booster pump $100m$ downstream from reservoir $A$ if $s$ is $3m$ and the pressure head at that location must be kept above $-6m$ because of cavitation concerns. Sketch the EGL and the HGL for the pipeline.