A right circular cylinder has a fixed height of

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

Problem

10\text{ cm}

. At an instant when the radius is

3\text{ cm}

, the volume is increasing at

50\text{ cm}^3\!/\text{s}

. What is the instantaneous rate of change of the radius at that instant? (a)

\dfrac{5}{3\pi}\text{ cm/s}

(b)

\dfrac{25}{3\pi}\text{ cm/s}

(c)

\dfrac{5}{6\pi}\text{ cm/s}

(d)

\dfrac{5}{\pi}\text{ cm/s}