Mathematics

Problem

The volume (in cubic meters) of a spherical balloon as a function of its radius

r

(in meters) is

V(r)=0.06r^{3}

. What is the instantaneous rate of change of the volume with respect to the radius when

r=2\text{ m}

? a)

0.24\,\text{m}^3/\text{m}

1.44\,\text{m}^3/\text{m}

0.72\,\text{m}^3/\text{m}

0.48\,\text{m}^3/\text{m}