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Can't create a face/surface from a set of curves


My end goal is to create a lamp shaped object for 3D printing. I have created an arc using some curves and lines, but I cannot get these to become a surface/face. All the endpoints are aligned.

I've attached a file showing my progress. What I want to do end up with is change the arc I've drawn into a hollow dome shape. I thought I could just create an arc shaped surface and then extrude it around an axis to create the dome, but I'm having no luck.

Any ideas/help/suggestions, please?

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