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# State the formula for moment of inertia of a solid sphere and hollow sphere about its diameter.

Last updated date: 20th Jun 2024
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Hint:We are to write the formula for moment of inertia of a solid sphere and a hollow sphere. First know the meaning of the moment of inertia. Then recall the formula for moment of inertia of a solid sphere and a hollow sphere, write down the formula by stating each term of the formula.

${\left( {M.I} \right)_{{\text{solid}}\,{\text{sphere}}}} = \dfrac{2}{5}M{R^2}$
where $M$ is the mass of the solid sphere and $R$ is the radius of the solid sphere.
${\left( {M.I} \right)_{{\text{hollow}}\,{\text{sphere}}}} = \dfrac{2}{3}M{R^2}$
where $M$ is the mass of the hollow sphere and $R$ is the radius of the hollow sphere.
Therefore, the formula for moment of inertia for solid and hollow sphere is $\dfrac{2}{5}M{R^2}$ and $\dfrac{2}{3}M{R^2}$ respectively.