Figure $6$: a$)$ Fire hydrant with a cap gauge

b$)$ Illustration of water flow in a pipe to the hydrant

i$.$ In one observation, a cap gauge connected to the hydrant in front of the BIUST Administration block gave a reading of $400$kPa, the temperature of the water was $30C,$ whilst the barometer reading at the weather station behind the block was $100$kPa. Compute how much was the hydraulic head $(h)$ for that hydrant?

ii$.$ Calculate the water pressure at node $x($Figure $3$ b$)$ causing such a hydraulic head $[2]$

iii. If the water temperature could drop to $10C$ in winter, perform a calculation to check if the cap gauge would give a different reading from that obtained in a$)$ above?

$3$