c
Volume of solid sphere, \(V=\frac{4}{3} \pi R^{3}\)

Radius of Sphere \(=R\)

\(V \alpha R^{3}\)

\(v^{\frac{1}{3}} \alpha R\)

Mass of sphere is, \(M=\) density \(\times\) Volume \(=\rho V\)

Moment of inertia of sphere about its axis, \(I=\frac{2}{3} M R^{2}=\frac{2}{3}(\rho V) R^{2}\)

\(I \alpha V R^{2}\)

\(I \alpha V\left(V^{\frac{1}{3}}\right)^{2}\)

\(I \alpha V^{\frac{5}{3}}\)

Moment of inertia, \(I \alpha V^{\frac{5}{3}}\)