A pipe $50$ cm in diameter carries water $(10\backslash$deg C$)$ at a rate of $0\mathrm{.}5$ m$3/$s$.$ A pump in the pipe is used to move the water from an elevation of $30$ m to $40$ m$.$ The pressure at section $1$ is $70$ kPa gage, and the pressure at section $2$ is $350$ kPa gage. What power in kilowatts and in horsepower must be supplied to the flow by the pump? Assume hL $=3$ m of water and $1=2=1.$