There is a solid sphere of mass m. Moment of inertia about the axis passing through the centre of sphere is I. If the material of the sphere is recast to a disc of same radius then what would be its moment of inertia?

Options

A. `2I//5`
B. `4I//5`
C. `3I//4`
D. `5I//4`

Explanation

To solve the problem, we need to find the moment of inertia of a disc formed from the material of a solid sphere, given that both have the same mass and radius. Let's go through the solution step by step.

### Step 1: Understand the Moment of Inertia of the Sphere
The moment of inertia (I) of a solid sphere about an axis passing through its center is given by the formula:
\[ I = \frac{2}{5} m r^2 \]
where \( m \) is the mass of the sphere and \( r \) is its radius.

### Step 2: Rearranging the Formula
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