Water discharges steadily from a large reservoir through a long pipeline, as shown in the figure. The Darcy friction factor in the pipe is 0.02. The pipe diameter is 20 cm and the discharge of water is 360 m\(^3\)/h. Water level in the reservoir is 10 m and acceleration due to gravity is \( g = 10 \, \text{m/s}^2 \). If minor losses are negligible, the length \( L \) (in meters, up to one decimal place) of the pipeline is \(\underline{\hspace{2cm}}\).
\includegraphics[width=0.75\linewidth]{imager21.png}