SOLUTION: I just purchased a swimming pool with the dimensions of 15 feet across and 42 inches deep. Yes it is a circle. I need to know how many gallons of water it will hold. I am having a

Algebra ->  Volume -> SOLUTION: I just purchased a swimming pool with the dimensions of 15 feet across and 42 inches deep. Yes it is a circle. I need to know how many gallons of water it will hold. I am having a       Log On


   

Question 285074: I just purchased a swimming pool with the dimensions of 15 feet across and 42 inches deep. Yes it is a circle. I need to know how many gallons of water it will hold. I am having a tanker brought out and need to know how much they need to bring because they charge by the gallon to bring it out.
Thank You,
William Beauchamp
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
1 cubic foot of water is about 7.48 gallons.
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The volume = Area of the circle * height of the column. This is the formula for the volume of a cylinder, which is what you will have.
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Area = pi*r^2 = pi*7.5^2 = 176.71 square feet
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Assuming you want to fill the pool to the rim, that is 42 inches, which = 3.5 ft.
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3.5 ft * 176.71 ft^2 = 618.485 ft^3
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618.485 ft^3 * 7.48 gallons/ft^3 = 4626.27 gallons
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Done