A swimming pool is being filled by two pipes. Pipe A can fill the pool alone in 6 hours, and Pipe B can fill the pool alone in 9 hours. If both pipes are opened together, how long will it take to fill the pool? Additionally, if the pool has dimensions 25 meters in length, 10 meters in width, and 2 meters in depth, calculate the total volume of water required to fill the pool in cubic meters. Let's think step by step and output the final answer within \boxed{}.
user