Mathematics

Mathematics

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) −100π cm/min-\dfrac{100}{\pi}\text{ cm/min} b) 20π cm/min\dfrac{20}{\pi}\text{ cm/min} c) −20π cm/min-\dfrac{20}{\pi}\text{ cm/min} d) −20 cm/min-20\text{ cm/min}

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