A uniform cylinder of radius 10 cm and mass 20 kg is mounted so as to rotate freely about a horizontal axis that is parallel to and 5.0 cm from the central longitudinal axis of the cylinder. What is the rotational inertia of the cylinder about the axis of rotation?
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Always double-check that your units are converted to meters before squaring:
\[
R = 0.1\text{ m} \rightarrow R^2 = 0.01, \quad d = 0.05\text{ m} \rightarrow d^2 = 0.0025
\]
This prevents decimal alignment errors during the final summation.