Find the moment of inertia of a sphere about a tangent to the sphere, while the mass of the sphere is M and the radius of the sphere is R.

Explanation

To find the moment of inertia of a sphere about a tangent to the sphere, we can follow these steps:

### Step 1: Understand the Problem
We need to calculate the moment of inertia \( I \) of a solid sphere about an axis that is tangent to its surface. The sphere has a mass \( M \) and a radius \( R \).

### Step 2: Moment of Inertia about Center of Mass
The moment of inertia of a solid sphere about an axis through its center of mass (CM) is given by the formula:
\[
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