Final answer:
The volume of the cylinder can be calculated using the formula V = πr²h. None of the given answer choices match the calculated volume of the cylinder.
Step-by-step explanation:
The volume of the cylinder can be calculated using the formula V = πr²h, where r is the radius of the cylinder and h is the height. From the given information, the diameter of the circular piston is 7.500 cm, so the radius is half of that, which is 3.750 cm. The height of the piston's movement is 3.250 cm. Therefore, the volume of the cylinder can be calculated as follows:
V = π(3.750 cm)² × 3.250 cm
V = 3.142 × (3.750 cm)² × 3.250 cm
V ≈ 44.588625 cm³
Since none of the answer choices matches exactly the calculated volume of approximately 44.588625 cm³, none of the given answer choices (a, b, c, or d) are correct for the volume of the cylinder.