A cone of height h and base radius r is located in a uniform electric field parallel to its base . what amount of electric flux enters the cone ?

Dear Student,
please find below the solution to the asked query:

No net flux would enter or exit through the cone. 
Since the cone is in uniform electric field and there is no charge inside the cone, using Gauss law on the surface of the cone one can see that there is no net flux entering or exiting through the cone, since 

$\mathit{f}\mathit{l}\mathit{u}\mathit{x}\mathbf{=}\frac{{\mathbf{Q}}_{\mathbf{e}\mathbf{n}\mathbf{c}\mathbf{l}\mathbf{o}\mathbf{s}\mathbf{e}\mathbf{d}}}{{\mathbf{\epsilon }}_{\mathbf{0}}},$
and charge inside is zero.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.