$(35$ p$)$ a$)$ Figure given below shows a portion of a fire protection system in which a pump draws $340\mathrm{.}65\frac{m^3}{h}$ of water at $10C$ from a reservoir and delivers it to point $B.$ The energy loss between the reservoir and point $A$ at the inlet to the pump is $0\mathrm{.}2m.$ Specify the required depth $h$ to maintain at least $34\mathrm{.}5$kPa pressure at point $A.$

b$)$ For the conditions of part $($a$),$ and we assume that the pressure at point $A$ is $34\mathrm{.}5$kPa, calculate the power delivered by the pump to the water to maintain a pressure of $586$kPa at point B$.$ Energy losses between the pump and point B total $8\mathrm{.}5m.$