Hi Barbara,
I was able to recreate the cylinder completely in AE, making a texture layer comp that animates the effects, moving that into a final comp and applying CC Cylinder. I supposed through trial and error, create a bunch of cylinders with a decreasing radius, stack them together to make the cone. But with AE and C4D lite working together, I found it easier to just create a cone in C4D, add the texture, a few lights and just import that directly into AE. Then I added another linear wipe to recreate the effect.
I’ve attached it all to give you a starting point.