The following bodies have same mass and radius. The body with large moment of inertia about geometric axis is

The moment of inertia of 

a solid sphere is $\frac{2}{5}{\mathrm{MR}}^2$

a Hollow sphere is $\frac{2}{3}{\mathrm{MR}}^2$

a Disc is $\frac{{\mathrm{MR}}^2}{2}$

a ring is ${\mathrm{MR}}^2$

Therefore, for a same mass and radius, a ring will have more moment of inertia.