pump is to send water from a well into a storage reservoir. To fill the reservoir in a timely manner, the pump has to deliver $8$L$/$s when the water level in the reservoir is $5$m above the water level in the well. Find the head that needs to be added by the pump. Assume the Hazen$-$Williams coefficient is $130$ and the local head loss coefficients for each of the bends is $0\mathrm{.}3.$