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3. Fuel oil is pumped into a leaking tank at a rate of 1 liter/min. The hole at the bottom has an effective area of

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3. Fuel oil is pumped into a leaking tank at a rate of 1 liter/min. The hole at the bottom has an effective area of 0.1 cm. What is the max- imum depth that the fuel oil can reach if the tank is initially empty? (Note that fuel oil spurts out through the hole with a velocity of V 2gh, where h is the depth of oil and g is the acceleration due to gravity, 981 cm/sec.)

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