A solid spherical ball fits exactly inside the cubical box of side $2 a$. The volume of the ball is\

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Professor PC Thomas Classes · Answer

(d):Diameter of sphere = Distance between opposite 
faces of cube $=2 a$\ ∴ radius of sphere $=a$\ So, volume of spherical ball $=\frac{4}{3} \pi r^{3}=\frac{4}{3} \pi a^{3}$