# Erase all the cavities!

Inside a ball charged uniformly with volume density $$\rho =4 \text{ C/m}^{ 3 }$$ of radius, $$R=1 \text{ m}$$, there are 5 spherical cavities of radii $$r=10 \text{ cm}$$. The center of each cavity is displaced with respect to the center by a distance $$a=50 \text{ cm}$$. Find the sum of magnitudes of electric field strengths inside the cavities, assuming permittivity equal to 1.

The answer is of the form $$\frac { a }{ b{ \varepsilon }_{ 0 } }$$

Find: $$a+b$$

Note: There is no point of intersection between the cavities.

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