What is the nearest flow rate in m$3/$s of a liquid that may exit from an open$-$top tank through an opening h $=8\mathrm{.}0$ m below the water surface in the tank, where the diameter of the exiting hose, D $=10$ cm$?$ Ignore atmospheric pressure. A wide hose with an inner diameter of $26$ cm is used as a water main and it furnishes water $($through intermediate pipes$)$ to a faucet pipe with inner diameter as $2\mathrm{.}0$ cm $.$ If the average speed of water from faucet pipe is to be maintained as $\backslash (3\mathrm{.}0\backslash$mathrm$\{$~cm$\}/\backslash$mathrm$\{$s$\}\backslash ).$ what should be the average speed of water through the water main? Show your work mentioning all formulas you have used.