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My answer at r1 is B = (u*b*r1^2)/2 and at r2 is B = (u*b*R^3)/(2*r2), in which u is the permeability of free space.

The actual answer at r1 is B = (u*b*r1^2)/3 and for r2 is B = (u*b*R^3)/(3*r2)...which seem to match my answers...just instead of halving each one...its divided by 3...how did they get that?