How pool volume is calculated
A pool is just a container: surface area × average depth gives cubic feet, and each cubic foot holds 7.48 gallons. The clever bit is average depth. Most pools slope from a shallow end to a deep end, and as long as that slope is reasonably steady, the pool holds exactly as much water as a flat-bottomed pool at the midpoint depth — so (shallow + deep) ÷ 2 does the job. A 3 ft shallow end and 8 ft deep end average 5.5 ft. If your pool is one depth everywhere (most above-ground pools), enter that depth in both fields.
The formulas
All dimensions are in feet, giving volume in cubic feet; multiplying by 7.48 converts to US gallons (and by 28.32 to liters). For a round pool, d is the diameter — the full distance across. The oval factor 0.89 is the pool-industry standard: real oval pools are closer to a rectangle with rounded ends than a true ellipse (which would be 0.785), so they hold a little more than the ellipse formula predicts.
Worked example
A 16 × 32 ft rectangular pool with a 3 ft shallow end and 8 ft deep end: average depth = (3 + 8) ÷ 2 = 5.5 ft, so volume = 16 × 32 × 5.5 = 2,816 cubic feet = 2,816 × 7.48 ≈ 21,064 gallons (about 79,740 liters).
Filling with a 9 GPM garden hose takes 21,064 ÷ 9 ÷ 60 ≈ 39 hours — about a day and a half. At $6.50 per 1,000 gallons, the water costs roughly $137.
Set expectations before you turn on the hose
First-time pool owners are usually surprised on two fronts: filling takes days, not hours, and the water isn't free. A single garden hose at ~9 GPM moves about 540 gallons an hour, so a typical in-ground pool is a 30-50 hour fill — plan for the hose to run overnight, and consider two hoses on separate spigots to halve the time. The water bill is the smaller shock: at typical municipal rates of $4-$10 per 1,000 gallons, a 20,000-gallon fill runs $80-$200. Two money-saving calls before you start: ask your utility about a pool-fill adjustment (many waive the sewer charge, which is often half the bill, for water that never enters the drain), and check for drought or fill restrictions — some districts limit or ban pool filling in summer, and a bulk-water delivery truck may be the legal (and sometimes faster) alternative.