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CalculusChallengeThe Derivative

The Derivative · Challenge problem

radius 5 m10 mh = 5 m

Water pours into a cone-shaped tank (radius 55 m at the top, height 1010 m, point down) at 44 m³/min. How fast is the water level rising when the water is 55 m deep? Give m/min, rounded to three decimals.