A Gaussian surface in the form of a hemisphere of radius $r$ lies in a uniform electric field of magnitude $E$. The surface encloses no net charge. At the (flat) base of the surface, the field is perpendicular to the surface and directed into the surface.
NOTE: Express your answers in terms of the given variables, using $\pi$ when needed.
(a) What is the flux through the base of the surface?
$\Phi$ =
(b) What is the flux through the curved portion of the surface?
$\Phi$ =