Mathematics

Problem

Air is pumped into a spherical balloon at a rate of

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}

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

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

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