Fire hoses used in major structure fires have an inside diameter of $6\mathrm{.}40$ cm$.$ Suppose such a hose carries a flow of $36\mathrm{.}0$ L of water per second starting at a gauge pressure of $1\mathrm{.}60106$ N$/$m$2.$ The hose goes $10\mathrm{.}0$ m up a ladder to a nozzle having an inside diameter of $3\mathrm{.}00$ cm$.$ Assume negligible resistance in the hose and calculate the Reynolds number for flow in the hose and the nozzle. Use $1\mathrm{.}00510-3($N$/$m$2)$ s as the coefficient of viscosity for water.

$($a$)$ the hose

NR$,$hose $=$

$($b$)$ the nozzle

NR$,$nozzle $=$