Step 1
Begin with a cylinder. or make your own with the gradient tool.
If you make your own, set the gradient to reflected and linear.
Step 2
Open the object you want to wrap around the cylinder and put it on its own layer on top.
Step 3
Here is where it all happens:
Filter>Spherize set the amount to 100 and change the mode to horizontal only.
Click ok
Step 4
See how it looks distorted?
Step 5
Press Ctrl/Cmd+T for free-transform.
Drag the sides in until it matches the size of the shape.
Step 6
This step will add a boost of realism.
Change the top layer to multiply mode. See how it appears to blend into the cylinder, and it shares the shadows and highlights.
Step 7
If you want a more rounded look on the ends of the cylinder:
Make a huge selection with the circular marquee tool.
Invert the selection. Ctrl/Cmd+Shift+I
Now use the eraser tool to erase the corners away.
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