The moment of inertia of hollow sphere (mass M) of inner radius R and outer radius 2R, having material of uniform density, about a diametric axis is

Options

A. `31MR^(2)//70`
B. `43MR^(2)//90`
C. `19MR^(2)//80`
D. None of these

Explanation

To find the moment of inertia of a hollow sphere with inner radius \( R \) and outer radius \( 2R \) about a diametric axis, we can follow these steps:

### Step 1: Understand the Geometry of the Sphere
We have a hollow sphere with:
- Inner radius \( R \)
- Outer radius \( 2R \)
- Uniform density \( \rho \)

...