Design and Develop any Automotive or Mechanical Engineering Machine or Mechanism.
https://www.quora.com/Engines/What-is-the-difference-between-a-cylinder-and-a-barrel
In my opinion, this is just common usage of English words, specifically as related here to automotive engineering.
So sure, in automotive engineering, a "cylinder" is part of the engine block, while a "barrel" is a sometimes-cylindrical vessel, inside an old-fashioned carburetor. But by the way, the four barrels of Rochester carburetors are not necessarily cylindrical. The secondaries look more like rectangular prisms.
But in other fields, a "barrel" would be a cylinder-like object, with bulging sides. Such as a wine barrel. It's not a cylinder, in the mathematical sense.
I wouldn't make too big a deal about this. I think it's just a linguistic convention used, applied to internal combustion engines, in your case.
In automotive engineering the difference between cylinder and barrel is barrel is the cylinder that do not integral to the block
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