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How many gallons are in a pool 18 feet x 38 feet that is 8.5 feet in the deep end and 3 feet in the shallow end?

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assuming the pool has no filleted corners and a straight slope of the 3 feet to the 8.5 feet level with no level off and the pool is filled to the brim, my calculations indicate that the vessel should be able to hold 30700.0518 US gallons based on 4104 cubic feet of capacity.
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