For solid sphere, the radius of gyration is k=√2R2/5=√2/5R
For solid cylinder, the radius of gyration is k=√R2/2=√1/2R
For hollow cylinder, the radius of gyration is k=√R2=R
For hollow sphere, the radius of gyration is k=√2R2/3=√2/3R
Arranging in increasing order, I<II<IV<III