You are filling an initially empty barrel of diameter 0.7 m and height 1.5 m with water at a rate of 0.2 L/s. When the barrel is about halfway full, you notice it is leaking through a hole of diameter 0.5 cm near the bottom. You plan is to fill up the barrel, close the top, then quickly flip it over and then seal the hole. Will you be able to fill up the barrel under these conditions?
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