APFIVE Rotational Inertia of a Solid Cone
Consider a solid cone with height h, base radius R, and uniform density \( \rho \). The cone rotates about its central axis. Calculate the rotational inertia I of the cone about this axis.
A
$$\( \frac{1}{4} \pi \rho R^4 h \)$$
B
$$\( \frac{3}{5} \pi \rho R^4 h \)$$
C
$$\( \frac{3}{10} m R^2 \)$$
D
$$\( \frac{1}{2} \pi \rho R^4 h \)$$
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