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Three identical spherical shells, each of mass \( m \) and radius \( r \) are placed as shown in the figure. Consider an axis \( X X \) ', which is touching two shells and passing through the diameter of the third shell. The moment of inertia of the system consisting of these three spherical shells about the \( X X^{\prime} \) axis is :
(1) \( \frac{11}{5} \mathrm{mr}^{2} \)
(2) \( 3 \mathrm{mr}^{2} \)
(3) \( \frac{16}{-} \mathrm{mr}^{2} \)
(4) \( 4 \mathrm{mr}^{2} \)
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