Air is pumped into a spherical balloon at a rate of

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

Problem

75\pi\text{ cm}^{3}\!\!/\!\text{s}

. What is the instantaneous rate of change of the radius when the radius is

6\text{ cm}

? (a)

\dfrac{25}{36}\text{ cm/s}

(b)

\dfrac{48}{25}\text{ cm/s}

(c)

\dfrac{25}{48}\text{ cm/s}

(d)

\dfrac{25}{16}\text{ cm/s}