$[-/1$ Points$]$

Water is flowing into a factory in a horizontal pipe with a radius of $0\mathrm{.}0223$ m at ground level. This pipe is then connected to another horizontal pipe with a radius of $0\mathrm{.}0320$ m on a floor of the factory that is $10\mathrm{.}6$ m higher. The connection is made with a vertical section of pipe and an expansion joint. Determine the volume flow rate that will keep the pressure in the two horizontal pipes the same.

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$\frac{m^3}{s}$

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