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Bro just watch this video, then you will get that the ans is none of these, the correct ans is twice the ans that you are claiming...
Or if i try to make understand then,
Just place four quarters of same charge density per unit area to make a disk, as u know the result of the disk so just divide it by 4 as all four quarters are identical to every point on the axis... Apply this in your question.. hope this will help..
Cause the application of gauss law.. i didnt get it here
We are considering a sphere of radius R for gaussian surface
Surface area - 4(pie)r^2