The CC Sphere effect is your friend.
Mylenium is right.
One thing to keep in mind about a lot of the effects that create 3D results in After Effects is that they create a 3D result and then map that onto the 2D plane of the layer that they're applied to. This means that if you rotate the layer itself or move around it with a camera, the result looks flat; you need to do the rotation within the effect itself.
There are a few effects that have a composition camera (or "comp camera") attribute, which allows them to appear in 3D even when the composition's camera is moving around them. But CC Sphere isn't one of these.
So then no.
> So then no.
No, the answer is "yes". The CC Sphere effect does what you need. It just has to be worked with in a specific way.