Water needs to be pumped from a$/$river to a reservoir located $80m$ above the level of the river at a volumetric flowrate of $11\mathrm{.}8f\frac{t^3}{m}$ in$.$ The inner diameter of the pipe in the river is $5\mathrm{.}3cm$ and the inner diameter of the pipe at the reservoir is $1\mathrm{.}049$inch. The density of water is $2\mathrm{.}2\frac{{10}^{-6}}{b}\frac{m_m}{m}{m}^3.$

a$)$ Convert the volumetric flowrate, pipe diameters and density to basic SI units.

b$)$ Calculate the power that the pump must be able to deliver.

c$)$ If friction losses in the pipeline were not neglected, how would it influence the required power transferred to the water?

$(2)$