# G- Field of a sphere

A solid sphere of uniform density with mass $$M$$ and radius $$R$$ has its center at $$(0,0,0)$$ which is the origin of the coordinate system. A spherical cavity of radius $$\frac { R }{ 2 }$$ having center at $$C$$ is made in the sphere by removing part of the material as shown in the figure above. Then the gravitational field intensity at $$C$$ is

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