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First, we need to calculate the volume of the pool. The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height of the cylinder.
So, in this case, V = π(6)^2 * 8 = 288π cubic feet.
Now, we know that it takes 7 gallons of water to cover 1 cubic foot of the pool. Therefore, the total number of gallons needed to fill the pool to capacity is:
288Ï€ * 7 = 2016Ï€ gallons.
Approximately, this equals about 6337.6 gallons.