A pump is used to transfer water from a large storage tank to another tank that is at a higher level. Both tanks

are open to the atmosphere, with the surface of Tank I $5\mathrm{.}46$ meters above ground level and the surface of Tank

II $24\mathrm{.}40$ meters above ground level. The tanks are large, and the liquid surfaces in the tanks can be assumed to

be stationary. Water is transported at a rate of $0\mathrm{.}990\frac{m^3}{m}in.$ The density of water is equal to $1000k\frac{g}{m^3}.$

There are frictional losses in the pipes, with the specific friction losses equal to $19\mathrm{.}0\frac{J}{k}g.$ The pump has an

efficiency equal to $40\mathrm{.}0\%.$ The cost of electricity is $12\mathrm{.}2$ cents$/($kW$*$h$).$

Calculate the required shaft work to be delivered to the water$-$tank system $(kW)$ and the hourly cost $($cents$/$h$).$