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Using the Definition to Compute the Derivative - Exercise 5

**Exercise 5.** A spherical balloon is being inflated. Find
the rate at which its volume *V* is changing with respect to the
radius.

**Answer.** The volume of the sphere is

So the desired rate of change is given by

In particular, when *r* = 5 ft, the rate of change is
if time is measured in seconds.

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