Find the moment of inertia of a solid sphere of mass `M` and radius `R` about an axis XX shown in figure. Also find radius of gyration about the given axis.

Explanation

From theorem of parallel axis
`I_(XX)=I_(COM)+Mr^(2)=(2)/(5)MR^(2)+MR^(2)`
`=(7)/(5)MR^(2)`
Radius of gyration `K=sqrt((I)/(M))=sqrt(((7)/(5)MR^(2))/(M))=sqrt((7)/(5))R`