An empty pool has the capacity to hold 2700 cubic feet (ft3) of water. A particular hose fills this pool with water at a rate of 25ft3 per minute. If the hose is placed into the empty pool and turned on, approximately what percent of the pool will be filled with water after 1 hour?Choose 1 answer:(A) 10%(B) 44%(C) 56%(D) 93%
Q. An empty pool has the capacity to hold 2700 cubic feet (ft3) of water. A particular hose fills this pool with water at a rate of 25ft3 per minute. If the hose is placed into the empty pool and turned on, approximately what percent of the pool will be filled with water after 1 hour?Choose 1 answer:(A) 10%(B) 44%(C) 56%(D) 93%
Calculate total water amount: Calculate the total amount of water that the hose will fill in 1 hour.Since there are 60 minutes in an hour, the hose will fill 25 ft3/minute ∗60 minutes = 1500 ft3 in one hour.
Calculate percentage filled: Calculate the percentage of the pool that will be filled with water after 1 hour.The pool's total capacity is 2700ft3. The hose fills 1500ft3 in one hour. To find the percentage filled, divide the amount filled by the total capacity and multiply by 100.Percentage filled = (1500ft3/2700ft3)×100
Perform calculation: Perform the calculation to find the percentage.Percentage filled = (1500/2700)×100Percentage filled = (5/9)×100Percentage filled ≈55.56%
Choose closest answer: Choose the closest answer from the given options.The calculated percentage is approximately 55.56%, which is closest to option (C) 56%.