The sun rotates about its axis once in 27 days. If it suddenly shrinks to one-eighth of its original volume, mass remaining same, then what will be its new period of rotation?

Explanation

To solve the problem, we need to determine the new period of rotation of the sun after it shrinks to one-eighth of its original volume while keeping its mass the same.

### Step-by-Step Solution:

1. **Understand the Initial Conditions**:
- The sun rotates once every 27 days. This is our initial period of rotation \( T = 27 \) days.

2. **Volume and Radius Relationship**:
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