$$V = \pi r^2 h$$
where:
- V is the volume in cubic feet
- r is the radius of the pool in feet
- h is the height of the pool in feet
To calculate the volume of an 18-foot diameter x 52-inch deep pool, we need to first convert the diameter to feet:
$$18 \text{ ft} \times \frac{1 \text{ft}}{12 \text{in}} = 1.5 \text{ ft}$$
Now we can plug the values into the formula:
$$V = \pi (1.5 \text{ ft})^2 (52 \text{ in})$$
$$V = \pi (2.25 \text{ ft}^2) (4.33 \text{ ft})$$
$$V = 30.53 \text{ ft}^3$$
To convert cubic feet to gallons, we multiply by 7.48:
$$V = 30.53 \text{ ft}^3 \times 7.48 \text{ gal/ft}^3$$
$$V = 227.81 \text{ gal}$$
Therefore, an easy set above ground 18 foot diameter x 52 inch deep pool holds approximately 228 gallons of water.
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