Water is pumped through a pipe $($diameter $=2$ in$.,\frac{}{D}=0\mathrm{.}01)$ with the length of $400ft$ shown in Figure $3$ below. The resistance coefficients are given below. If the pump is $80\%$ efficiency and the flowrate is $0\mathrm{.}2f\frac{t^3}{s},$ determine the power of pump $($in hp$).$

Fig $3$