$------$The system shown in Figure $2\mathrm{.}48$ is to be arranged by varying $h$ such that water is delivered to reservoir $C$ at a rate of $30\frac{L}{s}.$ Reservoir $C$ is empty, and the bottom of the reservoir is $1m$ below the discharge location. All pipes have a roughness height of $0\mathrm{.}05mm,$ and the pipes AP$,$ BP$,$ and $PC$ have diameters of $50mm,75mm,$ and $85mm,$ respectively. The flow in all pipes can be assumed to be fully turbulent. Find h$.$