He drew a kinder surprise type shape (the yellow box). Below that, a plane with a circle. The goal is to extrude the circle to the kinder, so that the material comes in tangency at all points. Attached is an image to give you an idea.
I'm not sure exactly what I do, but you can maybe make a dividing line in the middle of the revolution shape (Insertion, Curve, Dividing Line using a plane and the faces that intersect it), then make a volumetric smoothing of your sketch on the edges created by the dividing line.
Okay, if the circle sketched is smaller than the right part of the cylinder but if the latter is bigger, then the extrusion must project on 3 surfaces (the right part of the cylinder and the 2 fillets, and that's what @ICRIT I think. So extruding to the surface doesn't work.
It would be necessary to be able to sew the 3 faces (the right part of the cylinder and the 2 fillets) so that they form only one and then do the extrusion to the surface
To do this, you have to make a 180° revolution, create a plane and a circular sketch at the desired location and then make a smoothing with a tangent continuity as the end condition.
If you're in volume, the simplest is extrusion 'up to the body' (practical, it works all the time if your body is bigger than your circle).
If your revolution shape is in surface it should not work because you have 3 faces. So you have to use the 'stitched surface' function with the 3 sides which then allows you to make an extrusion to the stitched surface you just created