A rigid spherical body is spinning around an axis without any external torque. Due to change in temperature, the volume increases by 1%. What will be the percentage change in angular velocity?

Explanation

To solve the problem, we need to analyze the relationship between the volume change of the rigid spherical body and its angular velocity. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the relationship between volume and radius
The volume \( V \) of a sphere is given by the formula:
\[ V = \frac{4}{3} \pi R^3 \]
When the volume increases by 1%, we can express this mathematically as:
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