find the radius of gyration of uniform solid sphere about the tangential axis of rotation

Dear Student ,
The moment of inertia of a solid sphere about its tangent to the solid sphere is ,

$$\begin{gathered} I=\frac{7}{5}M{R}^2 \\ Where M=Mass of the solid sphere and \\ R =Radius of the solid sphere . \\ So here we know that , \\ M{k}^2=\frac{7}{5}M{R}^2 \\ \Rightarrow k=\sqrt{\frac{7}{5}}R\to Radius of gyration of the solid sphere about its \tan gent . \end{gathered}$$
Regards