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CalculusChallengeThe Derivative

The Derivative · Challenge problem

radius 2 m6 mh = 3 m

Water pours into a cone-shaped tank (radius 22 m at the top, height 66 m, point down) at 11 m³/min. How fast is the water level rising when the water is 33 m deep? Give m/min, rounded to three decimals.