A circular oil spill spreads so that its radius increases at a constant rate of

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

Problem

0.40\text{ cm/s}

. Determine the instantaneous rate at which the area of the spill is increasing when the radius is

6.0\text{ cm}

. (a)

12\pi\text{ cm}^{2}/\text{s}

(b)

2.4\pi\text{ cm}^{2}/\text{s}

(c)

4.8\pi\text{ cm}^{2}/\text{s}

(d)

14.4\pi\text{ cm}^{2}/\text{s}