An asymmetrical bulkhead for a pressure vessel, tank or other storage facility is disclosed. The bulkhead is configured so that there is a high region extending past a cylindrical portion of the vessel on one side of the bulkhead, with a contour of the bulkhead transitioning from the high region to a low region within the last cylindrical region. Such a bulkhead configuration allows two cylindrical pressure vessels to be nested together in end-to-end relation so as to occupy a total smaller volume than similarly sized vessels having convex ends, or to construct pressure vessels that contain a larger volume for storage than similarly sized vessels having convex ends.