At time the radius of a circular ripple on a pond is and is expanding at

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

At time

t=3\text{ s}

the radius of a circular ripple on a pond is

4\text{ cm}

and is expanding at

0.50\text{ cm/s}

. Determine the instantaneous rate at which the area of the ripple is changing at that moment (in

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