Mathematics

Problem

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

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}

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

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

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