If the radius of a sphere is measured as 9 cm with an error of 0.03 cm, then find the approximating error in calculating its volume.

Explanation

To find the approximate error in calculating the volume of a sphere when the radius is measured with a certain error, we can follow these steps:

### Step 1: Identify the formula for the volume of a sphere.
The volume \( V \) of a sphere is given by the formula:
\[ V = \frac{4}{3} \pi r^3 \]

...