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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 27002700 cubic feet (ft3) \left(\mathrm{ft}^{3}\right) of water. A particular hose fills this pool with water at a rate of 25ft3 25 \mathrm{ft}^{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 11 hour?\newlineChoose 11 answer:\newline(A) 10% \mathbf{1 0 \%} \newline(B) 44% 44 \% \newline(C) 56% 56 \% \newline(D) 93% 93 \%

Full solution

Q. An empty pool has the capacity to hold 27002700 cubic feet (ft3) \left(\mathrm{ft}^{3}\right) of water. A particular hose fills this pool with water at a rate of 25ft3 25 \mathrm{ft}^{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 11 hour?\newlineChoose 11 answer:\newline(A) 10% \mathbf{1 0 \%} \newline(B) 44% 44 \% \newline(C) 56% 56 \% \newline(D) 93% 93 \%
  1. Calculate total water in 11 hour: Calculate the total amount of water that the hose will fill in 11 hour.\newlineSince there are 6060 minutes in an hour, and the hose fills at a rate of 2525 cubic feet per minute, we multiply the rate by the number of minutes in an hour.\newlineTotal water filled in 11 hour = 25 ft3/minute×60 minutes25 \text{ ft}^3/\text{minute} \times 60 \text{ minutes}\newline= 1500 ft31500 \text{ ft}^3
  2. Calculate percentage filled after 11 hour: Calculate the percentage of the pool that will be filled with the water after 11 hour.\newlineWe have the total capacity of the pool and the amount of water filled in 11 hour. To find the percentage, we divide the amount filled by the total capacity and then multiply by 100100.\newlinePercentage filled = Total water filled in 1 hourPool capacity×100%\frac{\text{Total water filled in 1 hour}}{\text{Pool capacity}} \times 100\%\newline= 1500 ft32700 ft3×100%\frac{1500 \text{ ft}^3}{2700 \text{ ft}^3} \times 100\%
  3. Perform division and multiplication for percentage: Perform the division and multiplication to find the percentage.\newlinePercentage filled = (15002700)×100%(\frac{1500}{2700}) \times 100\%\newline= 0.5556×100%0.5556 \times 100\%\newline= 55.56%55.56\%
  4. Round percentage to nearest whole number: Round the percentage to the nearest whole number if necessary.\newlineSince the options are in whole numbers, we round 55.56%55.56\% to the nearest whole number, which is 56%56\%.