Figure below shows a water drained from a open large reservoir using two horizontal plastic pipes connected in series. The first pipe is $20m$ long and has a $10cm$ diameter, while the second pipe is $35m$ long and has a $4cm$ diameter. The water level in the reservoir is $18m$ above the centerline of the pipe. The pipe entrance is sharp$-$edged, and the contraction between the two pipes is sudden. Determine the discharge rate of water from the reservoir. $($Given: The loss coefficient of sharp edged entrance is $K_L=0\mathrm{.}5$ and it is $0\mathrm{.}46$ for the sudden contraction, the friction factor is $0\mathrm{.}002$ for both pipes.$)($Answer: $0\mathrm{.}0131\frac{m^3}{s})$