How to draw irregular cone

I am trying to create a shape which is essentially an irregular cone. So it is almost as if it needs to be lofted rather than rotated. But I am not sure.

I will upload the shape. Sketch 1 is the shape - which as will be able to see, needs to change as it rotates around the 360 degrees, and Sketch 8 and 9 are the path I wanted it to take (and also the internal cavity).

Thanks in advance!

Reuben

SolidworksGeneral