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Statement of a problem № 3236

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A circular disc of radius R and thickness R/6 has moment of inertia I about the axis perpendicular to the plane and passing through its centre. The disc is melted and recasted into a solid sphere. Show that the moment of inertia of the sphere about its diameter is I/5.

Solution:
A circular disc of radius R and thickness R/6 has moment of inertia I about the

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