Water is pumped from the river through a $\backslash (45-\backslash$mathrm$\{$mm$\}\backslash )-$diameter hose having a length of $2\mathrm{.}5$ m $.$ The friction factor is $\backslash ($ f$=0\mathrm{.}028\backslash )$ for the hose, and the gage vapor pressure for water is $-98\mathrm{.}7$ kPa $.$ Suppose that $\backslash ($ h$=1\mathrm{.}5\backslash$mathrm$\{$~m$\}\backslash ).($Figure $1)$

Part A

Determine the maximum volumetric discharge from the hose at $\backslash ($ C $\backslash )$ so that cavitation will not occur within the hose.

Express your answer to three significant figures.

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