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More posts by @Harper654

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@Ravi4787994

Naty's answer is close but since you're looking for the "correct distortion of a cylinder", you should use an actual cylinder. Illustrator has very limited (and sometimes buggy) 3D tools available, but this is a case where it has just what you need.

In short, you should 3D extrude a circle and map the text around the cylinder that is created. To do this:

1. Create your text, make it a Symbol

To do that, just select the text and either drag it to the Symbols pane or click the New Symbol button.



2. Create a circle, 3D Extrude it

Select the circle, use Effect > 3D > Extrude & Bevel...



3. Map your symbol to the face of the cylinder

Click the Map Art... button, select the correct surface (the rectangular one), and apply your symbol



4. Set the "Surface" to "No Shading"

This is a dropdown in the "3D Extrude & Bevel Options"



And you're done! You can play around with the "Perspective" setting in the 3D Extrude & Bevel options to find the right level of distortion for your needs.

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@Sherry646

I'll open by saying that this is something that you should do on photoshop, but if you insist on illustrator here is how it goes:


Create the type, separated into 3 objects - top, middle and bottom:

Go to the top group, create outlines, make it a compound path (object>compound path>make) and give it a 3d rotate effect like in the image (the 20 degrees is my suggestion you can do more or less but leave the other attributes as I wrote them):

Expand the image (object> expand appearance) and change the color to a gradient:

Use guides to fit it to it's place and then do the same to the bottom part.

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