Answer
$q=3.6\times 10^{-9}C$
Work Step by Step
As we know that;
$\phi=EA$
$\implies \phi=E2\pi RL$ (where $A=2\pi RL)$
According to Gauss's law
$\phi=\frac{q}{\epsilon_{\circ}}$
This can be rearranged as:
$q=\epsilon_{\circ}\phi$
$\implies q=\epsilon_{\circ}E2\pi RL$
We plug in the known values to obtain:
$q=8.85\times 10^{-12}(2.9\times 10^4)(2\times 3.1416)(0.014)(0.16)=3.6\times 10^{-9}C$
