The amount of hydroelectric power generated by a dam is directly related to both the volume of water flow and the height from which the water falls. The power can be calculated using the formula:
\[ \text{Power} = \text{Flow Rate} \times \text{Gravity} \times \text{Fall Height} \]
Since all four dams have the same volume of water flow, the key factor in determining which one would provide the most hydroelectric power is the fall height.
Let's compare the fall heights of each dam:
- Dam A: 175 feet
- Dam C: 135 feet
- Dam D: 100 feet
- Dam B: 75 feet
The dam with the highest fall height is Dam A at 175 feet. Therefore, Dam A would provide the most hydroelectric power among the options given.