$7.)($Bluebook problem$)$ Consider an imaginary cylinder with radius $1\mathrm{.}50$ m and length $3\mathrm{.}00$ m that has an infinite line of positive charge running along its axis. The charge per unit length on this line is $\backslash (\backslash$lambda$=+4\mathrm{.}00\backslash$mathrm$\{$nC$\}/\backslash$mathrm$\{$m$\}\backslash ).$

a$.)$ What is the magnitude of the electric flux through this cylinder, due to this infinite line charge.

b$.)$ If we now encompass the same line segment with an imaginary box with equal $3\mathrm{.}00$ m long sides, what would be the magnitude of the electric flux through this box?