Final answer:
The correct expression for the volume of a cylinder is V = πr²h, which is not present in any of the answer choices provided. Therefore, the correct answer is D) None of the above.
Step-by-step explanation:
The question asks which expression represents the volume of a cylinder given by y=72h, where r is the radius and h is the height. None of the provided options (A, B, C) accurately represent the volume of a cylinder. The standard formula for the volume of a cylinder is V = πr²h. Given that this formula involves both the radius squared and the height, and none of the options reflect this, the correct answer is D) None of the above.
To calculate the cylinder's volume using the formula, you need the radius and the height. For example, if the radius (r) were 0.750 cm and the height (h) were 5.25 cm, the volume (V) would be calculated as V = π × (0.750 cm)² × 5.25 cm = 9.278 cm³.