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A cistern in the form of an inverted circular cone is being filled with water at the rate of 5 0 liters per minute. If

A cistern in the form of an inverted circular cone is being filled with water at the rate of 50liters per minute. If the cistern is9meters deep, and the radius of its opening is7meters, find the rate at which the water level is rising in the cistern30minutes after the filling process began. Round any intermediate calculations, if needed, to no less than six decimal places, and round your final answer to three decimal places. (Hint:1m3=1000L.)

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