Mathematics

Problem

The surface area of a spherical balloon is increasing at 50\,cm

^{2}

/s when its radius is 10\,cm. What is the instantaneous rate at which the volume of the balloon is increasing at this moment? a)

125\,\text{cm}^{3}/\text{s}

250\pi\,\text{cm}^{3}/\text{s}

250\,\text{cm}^{3}/\text{s}

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