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Why does a solid sphere have smaller mom...

Why does a solid sphere have smaller moment of inertia than a hollow cylinder of same mass and radius, about an axis passing through their axes of symmentry ?

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the moment of inertia of a body is given by `I= sum m_(i)r_(i)^(2)` [ sum of moment of inertia of each constituent paraticles]
All the mass in a cylinder lies at distance R from the axis of symmetry but most of the mass of a solid sphere lies at a smaller distance than R.
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