The radius of an air bubble is increasing at the rate of `1/2c m//s`. At what rate is the volume of the bubble increasing when the radius is 1 cm?

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the relationship between the volume and radius of a bubble.
The volume \( V \) of a sphere (which represents the air bubble) is given by the formula:
\[ V = \frac{4}{3} \pi r^3 \]

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