Water drains from a vertical cylindrical tank of radius 5 cm at a constant rate of…

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

Water drains from a vertical cylindrical tank of radius 5 cm at a constant rate of 500 cm³/min. At this instant, what is the rate of change of the water height in the tank? (a)

-\dfrac{100}{\pi}\text{ cm/min}

(b)

\dfrac{20}{\pi}\text{ cm/min}

(c)

-\dfrac{20}{\pi}\text{ cm/min}

(d)

-20\text{ cm/min}

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