An inverted right circular conical tank has a height of 10 ft and a base radius of 4 ft

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

An inverted right circular conical tank has a height of 10 ft and a base radius of 4 ft. Water is being pumped into the tank at a constant rate of 2 ft3^{3}/min. What is the rate at which the water depth hh is rising when the depth is 5 ft? (a) 14π ft/min\dfrac{1}{4\pi}\text{ ft/min} (b) 12π ft/min\dfrac{1}{2\pi}\text{ ft/min} (c) −12π ft/min-\dfrac{1}{2\pi}\text{ ft/min} (d) 18π ft/min\dfrac{1}{8\pi}\text{ ft/min}

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