find the approximate volume of metal in a hollow spherical shell whose internal and external radii are 3cm and 3.0005cm, respectively.

Explanation

To find the approximate volume of metal in a hollow spherical shell with internal radius \( r = 3 \) cm and external radius \( R = 3.0005 \) cm, we can follow these steps:

### Step 1: Write the formula for the volume of a hollow spherical shell
The volume \( V \) of a hollow spherical shell is given by the formula:
\[ V = \frac{4}{3} \pi R^3 - \frac{4}{3} \pi r^3 \]
This can be simplified to:
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