How is the Magnetic Field Shaped in a Hollow Cylinder Electromagnet?

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Ok, everyone knows what an electromagnet is--the most obvious example being wire coils around a nail through which a charge is passed. If you had a hollow cylinder, and the coils were wrapped around the outside; how would the magnetic field be shaped?

Illustration (Please assume that there are more coils than shown and that the right side of the cylinder is not slanted.):

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You have what is known as a solenoid. You can easily find B-flux lines for this configuration in most physics or electromagnetics textbooks.
 
Thanks, I have one right in front of me. Is there any difference in the fields of a solenoid and a hollow one?