(Solved): A pump circulates water through a system of connected pipes on a house from the basement to the top ...

A pump circulates water through a system of connected pipes on a house from the basement to the top floor. The pump is located in the basement and drives water at $3.16\mathrm{m}/\mathrm{s}$ through a $5.70\mathrm{cm}$ diameter pipe at a gauge pressure of $407\mathrm{kPa}$. What will be the pressure in a $3.49\mathrm{cm}$ diameter pipe on the top floor, $21.6\mathrm{m}$ above the pipe? Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g. 0.23,-2, 1e6, $5.23\mathrm{e}?8$ Enter answer here $185618$