Simple Physics question about rotational inertia

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Homework Statement


A bowling ball made for a child has two thirds the radius of an adult bowling ball. They are made of the same material (and therefore have the same mass per unit volume).
(a) By what factor is the mass of the child's ball reduced compared with the adult ball?

(b) By what factor is the rotational inertia of the child's ball reduced compared with the adult ball?


Homework Equations



1/2 MR^2 , i believe

The Attempt at a Solution


I thought that the answer to part is is just 1/3 but my online assignment is accepting it as the correct answer.
part b would then be 2/3 squared * 1/2 = 1/3
 
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