A centrifuge disposable or separation assembly having a collection chamber for receiving and holding a fluid to be centrifuged, the chamber having an outer perimeter, an inner perimeter, a generally circular cross-sectional area, and a conical outboard collecting portion. The collection chamber is typically formed from relatively rigid, molded plastic or other materials. A mounting assembly is included as part of the invention to mount of the centrifuge disposable relative to the centrifuge rotor to facilitate balancing for smooth centrifuge rotation. The chamber further ports in communication near the outboard portions of the chamber to provide fluid communication to a tubing, which may be single lumen for discontinuous embodiments in which a single tube is used for fill and extraction and multi-lumen for continuous fill and extraction embodiments in which an inlet lumen is used for fill and one or more outlet lumens are used for extraction of separated components.