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The rotational inertia I of any given body of mass M about any given axis is...

The rotational inertia I of any given body of mass M about any given axis is equal to the rotational inertia of an equivalent hoop about that axis, if the hoop has the same mass M and a radius k given by

The radius k of the equivalent hoop is called the radius of gyration of the given body. Using this formula, find the radius of gyration of (a) a cylinder of radius 3.72 m, (b) a thin spherical shell of radius 3.72 m, and (c) a solid sphere of radius 3.72 m, all rotating about their central axes.

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