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A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is :
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A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is :
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Remember to use the parallel axis theorem when calculating the moment of inertia of the cut-out part about the required axis. The mass of each part is proportional to its volume.
Updated On: Nov 26, 2025
- \( \frac{7}{40} \)
- \( \frac{7}{57} \)
- \( \frac{7}{64} \)
- \( \frac{7}{8} \)
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