The formula for the volume of a sphere is given by:

Since we are asked the rate of change of the volume with repect to time, we take the derivative on both sides, taking into account the chain rule:

taking out the constants:

Now we derivate, using the chain rule, that is:

Applying the rule:

Simplifying:

We have the following known values:
![\begin{gathered} (dr)/(dt)=\frac{2\operatorname{cm}}{s} \\ r=3\operatorname{cm} \end{gathered}]()
Replacing we get:

Solving we get:
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