GATE Civil Engineering
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Three reservoirs $P,Q$ and $R$ are interconnected by pipes as shown in the figure (not drawn to the scale). Piezometric head at the junction $S$ of the pipes is $100\:m$. Assume acceleration due to gravity as $9.81\:m/s^2$ and density of water as $1000\:kg/m^3$ . The length of the pipe from junction S to the inlet of reservoir $R$ is $180\:m$.

Considering head loss only due to friction (with friction factor of $0.03$ for all the pipes), the height of water level in the lowermost reservoir $R$ (in $m$, round off to one decimal place) with respect to the datum, is  ______.

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