A solid cylinder of mass and radius originally rotates about its central axis

PHYSICS · Subjective · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A solid cylinder of mass 2.0 kg2.0\,\text{kg} and radius 0.10 m0.10\,\text{m} originally rotates about its central axis. A narrow cylindrical core of radius 0.020 m0.020\,\text{m} is drilled out along this axis, removing 0.10 kg0.10\,\text{kg} of material. Without performing a detailed calculation, state whether the rotational inertia of the cylinder about the same axis increases, decreases, or remains unchanged, and briefly explain your choice in one sentence.

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