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Disc melted and recast into a solid sphere: moment of inertia of the sphere

The same question, asked 2 times: 9 May 2023 S1*, 9 May 2024 S2. Every wording below, oldest first.

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  1. Question 1

    9 May 2023 S1

    40
    A circular disc of radius RR and thickness R8\frac{R}{8} has moment of inertia II about an axis passing through its centre and perpendicular to its plane. It is melted and recasted into a solid sphere; then moment of inertia of sphere about an axis passing through diameter is

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  2. Question 2

    9 May 2024 S2

    15
    A disc of radius RR and thickness R6\frac{R}{6} has moment of inertia II about an axis passing through its centre and perpendicular to its plane. Disc is melted and recast into a solid sphere. The moment of inertia of the sphere about its diameter is

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