Sorry, beginner here.
How do I extrude the entire curved shape i sketched on top of the solid body? It only allows me to extrude one part.
..if you've hovered your cursor over that open region and it does not shade/flll in then your boundary is open..look for a open gap?
What Paul said. Can't see very well but are you missing a line here?
Since you have multiple contours in the sketch, this is other reason it is not extruding fully. Use the contour selection option to select the other regions.
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