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electric field after spherical cavity is cut

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A positive charge Q = 1600.00 C is uniformly distributed over the volume of a sphere of radius R = 5.00 m.

Suppose a spherical cavity of radius R/2 is cut out of the solid sphere, the center of the cavity being a distance R/2 from the center of the original solid sphere (image attached).
The cut-out material and its charge are discarded.

What is the magnitude of the electric field produced by this new charge distribution
a) at point P,
b) a distance r = 22.50 m from the center of the original sphere?

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It finds the electric field after a spherical cavity is cut from a uniformly distributed charged sphere. The solution is detailed and was rated '5/5' by the student who posted the questions originally.

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