A positively charged solid non-conducting cylinder of length \(\ell=1 \mathrm{~m}\) and radius \(R=2 \mathrm{~cm}\) has a uniform volume charge density of \(9 \times 10^{-6} \mathrm{C} / \mathrm{m}^{3}\).

(a) What is the charge inside the cylinder? Avoiding the regions near the ends, determine the electric field magnitude at 

(b) \(r=1\) \(\mathrm{cm}\)

(c) \(r=3 \mathrm{~cm}\), where \(r\) is the radial distance from the long central axis of the cylinder.