A liquid drop of diameter D breaks up into 27 drops. Find the resultant change in energy.

Explanation

To solve the problem of a liquid drop of diameter \( D \) breaking up into 27 smaller drops, we will calculate the change in surface energy. Here are the steps to derive the solution:

### Step 1: Calculate the Volume of the Big Drop
The volume \( V \) of a sphere is given by the formula:
\[ V = \frac{4}{3} \pi r^3 \]
For the big drop, the radius \( R \) is \( \frac{D}{2} \). Thus, the volume of the big drop is:
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