Mathematics

Problem

The radius of a spherical balloon is increasing at

3\,\text{cm s}^{-1}

when the radius is

10\,\text{cm}

. What is the rate at which its volume is increasing at that instant? a)

2400\pi\,\text{cm}^{3}\text{s}^{-1}

1200\pi\,\text{cm}^{3}\text{s}^{-1}

400\pi\,\text{cm}^{3}\text{s}^{-1}

900\pi\,\text{cm}^{3}\text{s}^{-1}