Two identical hollow spheres of mass M and radius R are joined together. Consider three axes ( 1,2 and 3) tangential to sphere and perpendicular to the line connecting their centers. The rotational inertia of the combination about these axes is(are):-

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I c m ​ = 3 2 ​ M R 2 I 2 ​ = 2 ( I c m ​ + M R 2 ) = 2 ( 3 2 ​ M R 2 + M R 2 ) = 3 10 ​ M R 2 I 1 ​ = ( 3 2 ​ M R 2 + M R 2 ) + ( 3 2 ​ M R 2 + 9 M R 2 ) = 3 34 ​ M R 2 I 3 ​ = 3 34 ​ M R 2 I 1 ​ = 3 34 ​ M R 2 , I 2 ​ = 3 10 ​ M R 2 , I 3 ​ = 3 34 ​ M R 2 ​

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