A pump is controlled by a motor with efficiency$=77\%$ drawing $3$A at $120$V$.$ The inlet diameter is $8$ cm and the outlet diameter is $10$ cm$.$ The pump has an efficiency of $90\%.$ If water flows through the pump at a rate $=51$ kg$/$s $,$ the change in pressure

across the pump is closest to: $($Ignore any height differences across the pump.$)$ answer $=35\mathrm{.}28$ Kpa, please show work.