Four rivers have the same volume of water flow over time but fall from different heights to power hydroelectric dams. Which dam would provide the most hydroelectric power?

A - dam D: fall height of 100 feet
B - dam A: fall height of 175 feet
C - dam C: fall height of 135 feet
D - dam B: fall height of 75 feet

The hydroelectric power generated by a dam is directly proportional to the fall height of the water. Therefore, the dam with the highest fall height would provide the most hydroelectric power.

From the given options:

A - dam D: fall height of 100 feet
B - dam A: fall height of 175 feet
C - dam C: fall height of 135 feet
D - dam B: fall height of 75 feet

Therefore, dam A with a fall height of 175 feet would provide the most hydroelectric power.