A cylindrical shell conductor of length \(L\) has an inner radius \(a\) and an outer radius \(b\). Current flows radially outward from the inner surface to the outer surface. The resistivity of the material varies with distance \(r\) from the central longitudinal axis according to \(\rho(r) = \rho_0 \left(\dfrac{r}{a}\right)\), where \(\rho_0\) is a positive constant. What is the total electrical resistance of the cylindrical shell conductor?