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Two bodies of equal mass and equal moment of inertia: ratio of their sizes

This type of question, asked 2 times: 16 May 2023 S1, 9 May 2024 S1. All 2 questions below, oldest first.

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  1. Question 1

    16 May 2023 S1

    11
    Two spheres of equal masses, one of which is a thin spherical shell and the other solid sphere, have the same moment of inertia about their respective diameters. The ratio of their radii is

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  2. Question 2

    9 May 2024 S1

    29
    A square lamina of side 'bb' has same mass as a disc of radius 'RR'. The moment of inertia of the two objects about an axis perpendicular to the plane and passing through the centre is equal. The ratio bR\frac{b}{R} is

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