The radius of a right circular cylinder increases at the rate of 0.1 cm/minute

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

Problem

The radius of a right circular cylinder increases at the rate of 0.1 cm/minute, and the height decreases at the rate of 0.2 cm/minute. The rate of change of the volume of the cylinder, in cm3/minute\text{cm}^3/\text{minute}, when the radius is 2 cm and the height is 3 cm is: (a) −2π-2\pi (b) −8π5-\frac{8\pi}{5} (c) −3π5-\frac{3\pi}{5} (d) 2π5\frac{2\pi}{5}

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