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Rotational Inertia of a Solid Cone

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Determine the rotational inertia I of a solid cone with height h, base radius R, and uniform density ρ \rho , rotating about its central axis.

A

\( \frac{3}{10} m R^2 \)

B

\( \frac{3}{5} \pi \rho R^4 h \)

C

\( \frac{1}{2} \pi \rho R^4 h \)

D

\( \frac{1}{4} \pi \rho R^4 h \)

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