### A nonconducting spherical shell with an inner radius

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A nonconducting spherical shell, with an inner radius of 4 cm and an outer radius of 6 cm, has charge spread nonuniformly through its volume between its inner and outer surfaces. The volume charge density ? is the charge per unit volume, with the unit coulomb per cubic meter. For this shell ? = b/r where r is the distance in meters from the center of the shell and b = 3 ? C/m2. What is the net charge in the shell? C

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