In this site I found one logo which might be made in Adobe Illustrator:
It's a perfect 3D logo, how can this kind of logo be made with Illustrator?.
Adobe Illustrator isn't a 3D rendering program, so to create anything 3D in Illustrator requires that you simply draw it to look 3D.
How to draw something in 3D really isn't a topic specific to any particular drawing software, you just have to understanding some fundamentals of drawing...things like shading, color, shadows, gradients, highlights, etc.
I'm not good in illustrator, but I believe you can. I just drew an image almost the same as the one above using illustrator to prove that it's possible.
In the first three images, the sphere was achieved using gradient feature.
For the fourth image from the left, follow the steps above (just change the color to blue and apply shadow: Effect > Stylize > Drop Shadow. Just play the x-offset and y-offset, be sure to tick "preview" to see actual change.
Now for the 3D objects using other method: