The Rate at Which Water Flows Out of a Drain

question 72

Multiple Choice

The rate at which water flows out of a drain in the bottom of a certain tank is proportional to the height of water in the tank. The tank is a vertical cylinder with cross-sectional area of 1.0 m², so that every 1 cm in height represents 10 L. If the flow is 10 L/min (i.e. 1 cm/min) when the water level is 200 cm, how long will it take for the level to go from 200 cm to 20 cm?

• A) 1060 minutes
• B) 180 minutes
• C) 7 minutes
• D) 461 minutes

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