Water of density $1000 \mathrm{~kg} \mathrm{~m}^{-3}$ is pumped at a volumetric flow rate of $3.14 \times 10^{-2} \mathrm{~m}^{3} \mathrm{~s}^{-1}$, through a pipe of inner diameter $10 \mathrm{~cm}$ and length $100 \mathrm{~m}$, from a large Reservoir $1$ to another large Reservoir $2$ at a height $50 \mathrm{~m}$ above Reservoir $1$, as shown in the figure. The flow in the pipe is in the turbulent regime with a Darcy friction factor $f=0.06$, and a kinetic energy correction factor $\alpha=1$. Take $g=$ $9.8 \mathrm{~m} \mathrm{~s}^{-2}$. If all minor losses are negligible, and the pump efficiency is $100 \%$, the pump power, in $\mathrm{kW}$, rounded off to $2$ decimal places, is $\_\_\_\_\_\_\_\_$
