A vented tanker is to filled with fuel oil with p $=920$ and u $=0,045$ kg$/$m$*$s from an underground reservoir using a $20-$m$-$long plastic hose with a slightly rounded etrance and two $90$ smooth bends. The elevation difference between te oil level in the reservoir and the top of the tanker where the hose is discharged is $5$m$.$ The flow rate of the system is $0\mathrm{.}01$m$3/$s$.$ Taking the kinetic energy correction factor at hose discharge to be $1\mathrm{.}05$ and the power of the pump is $2,96$kW assuming an overall pump efficiency of $82$ percent, determine the diameter of the system.