An engineer has been assigned the design of a hydraulic reserve tank to be attached to the main hydraulic system of an excavator boom. The main system has four cylinders with 120 mm diameter pistons and a stroke of 0.320 m. The lines connecting the main system have a 2.54 cm inside diameter and are 15.5 m in total length. For safety reasons, the reserve tank must hold a minimum of 50% more than the total amount of hydraulic fluid in the main system. If the diameter of the reserve tank will fit best on the excavator with a diameter of 30.48 cm, what is the shortest height it should be?