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The moment of inertia of a uniform sphere of mass $m$ and radius $r$ about an axis passing through its centre of mass is $\frac{2}{5}mr^2$ . If half of the sphere is removed as shown, what is the moment of inertia about the same axis?

A. $\frac {\sqrt2} {5} mr^2$
B. $\frac {2} {5} mr^2$
C. $\frac {1} {5} mr^2$
D. $0.259$ $mr^2$
E. None of the above.