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CalculusSuperchallengeContextual Applications of Differentiation

Contextual Applications of Differentiation · Superchallenge problem

Water drains from a conical tank (vertex down) whose radius is always half its depth, at a rate dVdt=−5h\dfrac{dV}{dt}=-5\sqrt h cubic feet per minute (Torricelli's law), where hh is the depth in feet. Find dhdt\dfrac{dh}{dt}, in ft/min, at the instant h=9h=9 feet.