The surface area of a sphere is increasing at a rate of $14\pi$ square meters per hour. At a certain instant, the surface area is $36\pi$ square meters. **What is the rate of change of the volume of the sphere at that instant (in cubic meters per hour)?** [[☃ radio 1]] *The surface area of a sphere with radius $r$ is $4\pi r^2$.* *The volume of a sphere with radius $r$ is $\dfrac{4}{3}\pi r^3$.*