A long, thin straight wire with linear charge density runs down the center of a thin, hollow metal cylinder of radius R. The cylinder

A long, thin straight wire with linear charge density λ runs down the center of a thin, hollow metal cylinder of radius R.
The cylinder has a net linear charge density 2λ. Assume λ is positive. Find expressions for the electric field strength

(a) Inside the cylinder, r < R,

(b) Outside the cylinder, r > R. In what direction does the electric field point in each of the cases?