The area of a circular ripple on a pond is increasing at

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

Problem

10\,\text{cm}^{2}\text{s}^{-1}

. Find the rate at which the radius is increasing when the radius is

5\,\text{cm}

. (a)

\dfrac{2}{\pi}\,\text{cm s}^{-1}

(b)

\dfrac{5}{\pi}\,\text{cm s}^{-1}

(c)

\dfrac{1}{\pi}\,\text{cm s}^{-1}

(d)

\dfrac{1}{5\pi}\,\text{cm s}^{-1}