I’d like to make such a ribbed surface but all my tries failed:
I tried making a projection of a sketch to the surface but it will only extrude to the same hight around the opject and when i then try to fillet is not the result i want. also when i try to pattern this around the model it always tells me that the resulting body is invalid.
To make the main body: Sketch the bottom shape (circles around a larger circle, trim tool the unneeded line segment bits away). Then use the move tool to copy the sketch while moving it up to about the mid section AND then scale it larger. Repeat that Copy/Move again to the top AND scale it smaller. Then use the loft tool to loft the 3 sketches.