A uniform solid cylinder of length and radius has moment of inertia about its axis equal to . A small co-centric cylinder of length and radius carved from this cylinder has moment of inertia about its axis equals to . The ratio is _________.

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Solution

Q.
A uniform solid cylinder of length $L$ and radius $R$ has moment of inertia about its axis equal to $I_{1}$ . A small co-centric cylinder of length $\frac{L}{2}$ and radius $\frac{R}{3}$ carved from this cylinder has moment of inertia about its axis equals to $I_{2}$ . The ratio $I_{1} / I_{2}$ is _________. [2026]

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