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A patient is receiving medication through an intravenous infusion, as the figure shows

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A patient is receiving medication through an intravenous infusion, as the figure shows. The medication has a viscosity of 2.2 x 10^-3 Ns/m² and a density of 1050 kg/m³. The needle being used has a length of 0.035 m, an inner radius of 5.0 x 10^-4m, and has been inserted into a vein, which has a gauge pressure of 2.0 x 10³ Pa. The IV bag hangs 0.45m above the location of the needle. What volume of medication enters the vein in 10.0 minutes? Give your answer in cm³. Assume the height of the column of medication in the IV bag and connecting tube remains constant during the 10.0 minutes.