Cylindrical shells by the nature of their curvature exhibit coupling of extensional and flexural wave fields. This coupling produces unique characteristics when the shell is dynamically excited and subjected to acoustic radiation loading due to the interaction with a surrounding infinite fluid field. This paper outlines the governing equations of motion for the cylindrical structure and surrounding medium. The results of the coupled equations are presented in terms of acoustic power transmission. The acoustic power quantifies radiation loss, structural loss, and input power. Results are presented that describe the radiation efficiency of cylindrical shells under radial, axial, and circumferential point excitation. Parametric studies of structural loss, circumferential stiffening, and directional excitation are examined relative to the radiated acoustic power created in the farfield. A brief comparison of the theoretical calculation with an experimental result is presented as a validation benchmark for the theoretical calculations.