Sketch projection on cylinder

Hi Everyone,

I have projected the following curve on a cylinder. However, I need the features to be symmetrical and the projection is not.

Any idea how to properly project it?

Furthermore, I will need to cut  this part in 2 along the projected curve.

Any help is appreciated.

Here is the file:

Disk_demo.SLDPRT - Google Drive

SolidworksParts And Features