make two rings of two differnet size balls, with weigh more?

Through the center of the two different sized wooden balls, different sized holes is drilled such that the two rings that remains is of the same height.

Which ring is heaviest?

The one which the most weight should be the one with the most area. The area is the volum of the sphere, minus the area of the cylinder who represent the hole. But how to compare the two cases?

Not sure that this is the right place to post this question. Please move it if an other place is more sutible.

/ rumpsteken