Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.
<h3>What is the volume of a sphere?</h3>The volume of a sphere of radius r is given by:
Applying implicit differentiation, the rate of change is given by:
In this problem, we have that:
Hence the rate of change of the radius is given as follows:
The radius is increasing at a rate of 0.0081 cm per minute.
More can be learned about implicit differentiation at brainly.com/question/25608353
#SPJ1