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An empty pool has the capacity to hold 2700 cubic feet 
(ft^(3)) of water. A particular hose fills this pool with water at a rate of 
25ft^(3) 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%

An empty pool has the capacity to hold 2700 cubic feet (ft3)2700 \text{ cubic feet } (\text{ft}^{3}) of water. A particular hose fills this pool with water at a rate of 25ft3 per minute25\text{ft}^{3} \text{ 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 11 hour?\newlineChoose 11 answer:\newline(A) 10%10\%\newline(B) 44%44\%\newline(C) 56%56\%\newline(D) 93%93\%

Full solution

Q. An empty pool has the capacity to hold 2700 cubic feet (ft3)2700 \text{ cubic feet } (\text{ft}^{3}) of water. A particular hose fills this pool with water at a rate of 25ft3 per minute25\text{ft}^{3} \text{ 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 11 hour?\newlineChoose 11 answer:\newline(A) 10%10\%\newline(B) 44%44\%\newline(C) 56%56\%\newline(D) 93%93\%
  1. Calculate total water amount: Calculate the total amount of water that the hose will fill in 11 hour.\newlineSince there are 6060 minutes in an hour, the hose will fill 2525 ft3^3/minute * 6060 minutes = 15001500 ft3^3 in one hour.
  2. Calculate percentage filled: Calculate the percentage of the pool that will be filled with water after 11 hour.\newlineThe pool's total capacity is 2700ft32700 \, \text{ft}^3. The hose fills 1500ft31500 \, \text{ft}^3 in one hour. To find the percentage filled, divide the amount filled by the total capacity and multiply by 100100.\newlinePercentage filled = (1500ft3/2700ft3)×100(1500 \, \text{ft}^3 / 2700 \, \text{ft}^3) \times 100
  3. Perform calculation: Perform the calculation to find the percentage.\newlinePercentage filled = (1500/2700)×100(1500 / 2700) \times 100\newlinePercentage filled = (5/9)×100(5 / 9) \times 100\newlinePercentage filled 55.56%\approx 55.56\%
  4. Choose closest answer: Choose the closest answer from the given options.\newlineThe calculated percentage is approximately 55.56%55.56\%, which is closest to option (C) 56%56\%.

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