Need help creating convex surface with raised lines

I am trying to make a convex dome on the end of a circle i extruded into a cylinder. Then once i do that i want to be able to add raised lines inside of that convex dome. How would i go about doing this?

Sounds like a simple Revolve and Split commands. Can you attach what you have so far?

This is what i have. Dimensions are not exact yet but just to give you an idea of the shape im working with.

Part1.zip

I have been toying with the revolve cut feature and i think thats what i need however i keep getting rebuild error: sletch is open, self intersecting, or intersects a center line.