GATE Civil Engineering (CE) 2020 Shift 1 Solved Paper

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