Problem $1(40$ points$).$ As shown below, the water at a flowrate of $0\mathrm{.}16\frac{m^3}{s}$ is pumped from a large reservoir to the hilltop with an elevation of $40$ m $.$ The pipeline consists of pipes with diameters of $0\mathrm{.}25$ m $($from reservoir to pump$)$ and $0\mathrm{.}15$ m $($from pump to hilltop$).$ The water pressure on the hilltop $($in the building$)$ is $305$ kPa $.$ If the headloss between the reservoir and the hilltop is $h_L=5m,$ calculate the power of the pump.