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a)the sphere is symmetric in all directions.

b)surface area growth of the sphere as you increase the radius goes as [tex]r^2[/tex].

c) force of electrical forces goes as [tex]1/r^2[/tex]

So the forces are there, they just cancel each other out geometrically.

This is not the full mathematical proof; if this is a homework question then post in the homework forum.

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