A nonconducting spherical shell problem

[noppawit]

A nonconducting spherical shell of inner radius a=2.00 cm and outer radius b = 2.40 cm has (withing its thickness) a positive charge density p = A/r, where A is a constant and r is the distance from the center of the shell. In addition, a small ball of charge q=45.0 fC is located at that center. What value should A have if the electric field in the shell (a$$\leq$$r$$\leq$$b) is to be uniform?

I know the answer that A value is 1.79$$\times$$10^-11. The problem is I don't know how to solve it. I don't even know which equation I should use. I tried to start with E = kq/r², but what is the value of r. It is not specified where should I calculate.

Please help.
Thank you.

 

[Redbelly98]

r can have any value between a and b. It is a variable, with no specific value.

Do you know what charge the "q" refers to in your equation for E?