Final answer:
The piston with the larger area can move a heavier load in a hydraulic system.
Step-by-step explanation:
In a hydraulic system, the force applied is determined by the pressure and the area on which the pressure is applied.
The equation that relates the force, pressure, and area is: force = pressure * area.
Since the pressure is the same in both cylinders, the piston with the larger area will be able to move a heavier load.
In this case, cylinder number 2 has a radius of 2 inches, which means its diameter is 4 inches.
The formula for calculating the area of a circle is: area = π * radius^2.
Therefore, the area of cylinder number 2 is: area = π * (2^2).
Cylinder number 1 has a diameter of 2 inches, so its radius is 1 inch, and the area of cylinder number 1 is: area = π * (1^2).
Since the area of cylinder number 2 is larger than the area of cylinder number 1, the piston in cylinder number 2 can move a heavier load.