Answer
The flux through the base is $~~-0.0253~N \cdot m^2/C$
Work Step by Step
We can find the flux through the base:
$\Phi = E~A$
$\Phi = E~\pi~r^2$
$\Phi = (-2.50~N/C)~(\pi)~(0.0568~m)^2$
$\Phi = -0.0253~N \cdot m^2/C$
The flux through the base is $~~-0.0253~N \cdot m^2/C$
