Extrude your sketch vertically any amount. Then Insert - Feature - Dome. Select the face, and how high you want the dome. If you don't want the vertical walls, extrude-cut them away. Job done.
You are trying to work in wireframes - you need to change the way you are working. SolidWorks is all about SOLIDS. Don't try to make sticks and then skin them over. It can be done, but that is advanced surfacing, and NOT a beginner workflow. Make solids, and add and remove from those solids to get the shapes you want. If you have not done the tutorials included in SolidWorks, DO THEM! They are VERY beneficial - even if they don't make sense or you think you will never need the functions, DO the tutorials.
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