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A thin semi circular cylindrical shell has mass M and radius R. Find its moment of inertia about a line passing through its centre of mass parallel to

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A thin semi circular cylindrical shell has mass M and radius R. Find its moment of inertia about a line passing through its centre of mass parallel to the axis (shown in figure) of the cylinder.
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Correct Answer - `MR^(2) (1 - (4)/(pi^(2)))`
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