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Answer :
By calculating the volume of the pool and considering the cost per 1000 gallons of water, we determined that it would cost $286.70 to fill the pool.
Dimensions of rectangular pool: 25 yd by 25 yd
Depth of pool: 5.7 feet
Cost per 1000 gallons of water: $1.50
To find:
The cost of filling the pool
First, we need to find the volume of the pool. The volume of a rectangular pool is calculated by multiplying its length, breadth, and depth.
Volume of rectangular pool = length * breadth * depth = 25 yd * 25 yd * 5.7 feet
Since 1 yard is equal to 3 feet, we convert the dimensions from yards to feet:
25 yd = 25 * 3 = 75 feet
Now we can calculate the volume:
Volume of rectangular pool = 75 ft * 75 ft * 5.7 ft = 25537.5 cubic feet
Since 1 cubic foot is equal to 7.48052 gallons, we can convert the volume to gallons:
Volume of rectangular pool = 25537.5 * 7.48052 gallons = 191136.36 gallons
Next, we need to calculate the cost of filling the pool. Given that the cost per 1000 gallons of water is $1.50, we can determine the total cost.
Cost of filling 191136.36 gallons of water = (191136.36/1000) * $1.50 = $286.70
Therefore, the cost of filling the pool is $286.70.
In summary, by calculating the volume of the pool and considering the cost per 1000 gallons of water, we determined that it would cost $286.70 to fill the pool.
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