A positively charged thin cylindrical shell of length \(10 \mathrm{~m}\) and radius \(50 \mathrm{~mm}\) has no end caps and a uniform surface charge density of \(9 \times 10^{-9} \mathrm{C} / \mathrm{m}^{2}\).

(a) What is the charge on the shell? Determine the electric field magnitude far from either end of the shell at 

(b) r=49 mm and 

(c) r=51 mm, where r is the radial distance from the long central axis of the shell.