Answer:
part (a):
Time taken to fill the pool = 1795.318706 seconds
part (b):
Time taken to fill the pool = 29771.99452 seconds
Explanation:
We are given that it takes 20 seconds to fill 2 gallons. Therefore, we can use cross multiplication to know how long will it take to fill one gallon as follows:
20 seconds ..........> 2 gallons
?? seconds ..........> 1 gallon
Time taken = (1*20) / 2 = 10 seconds
Therefore, it takes 10 seconds to fill one gallon of water.
One gallon is equivalent to 0.133681 ft^3
Therefore, it takes 10 seconds to fill 0.133681 ft^3.
Part (a):
volume of pool = length * width * height
volume of pool = 3 * 8 * 1
volume of pool = 24 ft^3
It takes 10 seconds to fill 0.133681 ft^3 of water, therefore:
10 seconds .........> 0.133681 ft^3
?? seconds .........> 24 gallons
Time taken to fill the pool = (24*10) / 0.133681 = 1795.318706 seconds
Part (b):
radius of pool = 13/2 = 6.5 ft
volume of pool = pi * (radius)^2 * height
volume of pool = pi * (6.5)^2 * 3
volume of pool = 397.995 ft^3
It takes 10 seconds to fill one gallon of water, therefore:
10 seconds .........> 0.133681 ft^3
?? seconds .........> 397.995 ft^3
Time taken to fill the pool = (397.995*10) / 0.133681 = 29771.99452 seconds
Hope this helps :)
