What is the total energy transported per hour along a narrow cylindrical laser beam 1.50 mm in diameter?

(a) Discuss the relevant principles and formulas associated with the energy transported by a laser beam, considering factors such as intensity, power, and beam diameter.
(b) Specify any additional information needed to calculate the total energy transported per hour, and outline the units and dimensions involved.
(c) Provide the necessary mathematical expressions and steps to calculate the total energy transported per hour for the given cylindrical laser beam.