How to model a cap?
I started playing with it and I have the crevisis you are asking about. you should start a project here and upload your file. I saved my version but I am using a SW 2012 so I don't think you will be able to open it so here is how I did it.
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Step 1:
I opened a sketch on the plane you created. (the top of the ribs)
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Step 2:
created a rectangle the size I wanted and made sure it was large enough to touch both the rim and the inner high part.
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Step 3:
extruded to the bottom surface with 5 degrees of draft
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Step 4:
created an axis using the front and right plane
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Step 5:
did a circular pattern (under the linear pattern button)
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Step 6:
did a second circular pattern the other direction (click on the arrows to the left of the axis to change the direction)
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Step 7:
added some fillets
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Step 8:
and a few more fillets
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Step 9:
and this is what we have.