Round Pool Volume Calculator
Calculate the water volume of a round or circular pool from its diameter, radius, or circumference.
Advanced: Liner, Cover, Base & Pump
Water depth is usually a bit less than the full wall height — above-ground pools are typically filled to around 85–90% of the wall height so water stays below the skimmer opening.
Step-by-Step Solution
Here's exactly how this answer was calculated, one step at a time.
- 1
Find the radius from the diameter
24 Feet ÷ 2 = 12 ft
The radius is always half the diameter.
- 2
Calculate the surface area
π × 12² ft = 452.4 ft²
A circle's area is π times the radius squared — this is the flat surface area of the pool as seen from above.
- 3
Multiply area by water depth
452.4 ft² × 4 ft = 1,809.6 ft³
Surface area times water depth gives the total volume of water the pool holds, in cubic feet.
- 4
Convert to gallons
1,809.6 ft³ × 7.48052 = 13,536.4 gal
Multiplying cubic feet by 7.48052 converts the volume into US gallons, since one cubic foot holds about 7.48 gallons of water.
✓ Final Answer: Water Volume ≈ 13,536 US gallons
Free Online Round Pool Volume Calculator
This round pool volume calculator works out exactly how many gallons of water your round or circular pool holds. It's built specifically for round pools, so you can enter whichever measurement is easiest to take — diameter, radius, or even circumference if that's all you can measure — and it converts everything to a water volume in US gallons, imperial gallons, liters, cubic meters, and cubic feet.
Round above-ground pools are one of the most common backyard pool setups, and they come in a handful of standard sizes, so this calculator includes one-tap buttons for the most popular diameters. Beyond just the volume, it also estimates a few extra numbers that round pool owners usually need next: how much liner and cover material to buy, how much sand to lay down for the base, and how big a pump you need to keep the water properly circulated.
The Round Pool Volume Formula
A round pool's volume follows the standard formula for a cylinder — surface area multiplied by depth, where the surface area of a circle is π times the radius squared:
- Volume = π × Radius² × Water Depth
- Radius = Diameter ÷ 2
- Radius = Circumference ÷ (2 × π)
Diameter, Radius, or Circumference — Which Should You Measure?
Diameter is the easiest and most common measurement for a round pool — it's the straight-line distance across the pool through its center, and it's usually printed right on the box or spec sheet for above-ground pools. Radius is simply half of that, and some people find it easier to measure from the center post or middle of the pool floor out to the wall. Circumference — the distance around the outside edge of the pool — comes in handy when the pool is already set up and full of water, since you can measure around the top rail with a tape measure without needing to reach across the middle. This calculator accepts any of the three and converts automatically, so use whichever one you can measure most accurately.
How to Measure a Round Pool Accurately
For the most accurate volume, keep these measuring tips in mind:
- Measure the diameter at the water's surface, from inside wall to inside wall, not the outer edge of the top rail or frame.
- For water depth, measure straight down from the current water line to the pool floor, not the full height of the wall.
- If measuring circumference, wrap a tape measure snugly around the outside of the pool at the water line and keep it level all the way around.
- Above-ground pools are almost always filled a bit below the top of the wall — usually to around 85 to 90 percent of the wall height — so don't assume water depth equals wall height unless you've checked.
Worked Example
Say you have a 24-foot diameter above-ground pool with a wall height of 52 inches (about 4.33 feet), filled to a water depth of 4 feet. The radius is 24 ÷ 2 = 12 feet. The surface area is π × 12² = 452.4 square feet. Multiplying by the 4-foot water depth gives 452.4 × 4 = 1,809.6 cubic feet, and converting to gallons (multiplying by 7.48052) comes out to roughly 13,539 US gallons — which is what this calculator shows if you enter those same numbers.
Common Above-Ground Round Pool Sizes and Their Approximate Volume
Here's roughly how much water a few standard above-ground round pool sizes hold, assuming a water depth about 4 feet (a typical fill level for a 48–52 inch wall):
- 12 ft diameter: approximately 3,385 gallons
- 15 ft diameter: approximately 5,290 gallons
- 18 ft diameter: approximately 7,618 gallons
- 21 ft diameter: approximately 10,368 gallons
- 24 ft diameter: approximately 13,539 gallons
- 27 ft diameter: approximately 17,133 gallons
- 30 ft diameter: approximately 21,148 gallons
Sizing a Liner for a Round Pool
A round pool liner needs to cover the entire floor, run up the inside of the wall, and leave a bit of extra material at the top to tuck under the top rail or bead track. A commonly used starting formula adds twice the wall height (once for each side the liner has to travel up) plus a small overlap allowance to the pool's diameter:
- Liner Diameter = Pool Diameter + (2 × Wall Height) + Overlap Allowance
Sizing a Pool Cover
Round pool covers are sized by diameter too, and they need to be a bit larger than the pool itself so the edges drape over the wall and can be secured with clips, a cable-and-winch system, or air pillows underneath for winter covers. Most manufacturers size covers with an overlap allowance of around 18 to 30 inches beyond the pool's actual diameter, and this calculator uses your entered overlap value to suggest a cover size to shop for.
How Much Sand Do You Need for the Base?
Above-ground pools sit on a leveled base, and a layer of pool-grade sand (usually around 2 inches thick) is a common way to cushion the liner and smooth out small imperfections in the ground underneath. This calculator multiplies your pool's surface area by the sand thickness you enter to estimate the volume of sand you'll need, given in cubic feet and cubic yards, which is how most sand and landscaping suppliers sell it.
Pump and Filter Turnover for Round Pools
Circulating the pool's entire water volume through the filter regularly is what keeps the water clear and properly sanitized. A commonly recommended target for residential pools is a full turnover somewhere between 8 and 10 hours, meaning the pump moves a volume of water equal to the whole pool at least once in that window. This calculator estimates the pump flow rate, in gallons per minute, needed to hit whatever turnover target you set, which is a useful number to compare against a pump's rated flow when shopping for a new one.
Common Mistakes When Estimating Round Pool Volume
A few errors come up again and again when people estimate round pool volume by hand:
- Using the wall height instead of the actual water depth, which overstates the volume since pools are rarely filled all the way to the top.
- Measuring the outer edge of the top rail or frame instead of the inside diameter at the water line.
- Mixing up radius and diameter — plugging the diameter into a formula that expects the radius doubles the error, since it gets squared.
- Forgetting to convert circumference to radius correctly, since it involves dividing by 2π rather than just 2.
Limitations of This Calculator
This calculator gives a solid, practical estimate for a standard round or circular pool — not an exact engineering measurement. It assumes a consistent, level floor and a true circular shape. Pools with an uneven base, a built-in step or bench that takes up floor space, or a slightly oval shape (common on some older or lower-cost above-ground pools) will come out a little higher or lower than the true volume. The liner, cover, sand, and pump figures are general planning guidelines based on widely used industry rules of thumb, not exact specifications — always double-check against your specific pool model's manual or manufacturer recommendations before ordering parts or equipment.
Frequently Asked Questions
How do I calculate the volume of a round pool?
Use Volume = π × Radius² × Water Depth. If you only know the diameter, divide it by 2 to get the radius first. This calculator accepts diameter, radius, or circumference and converts automatically.
How many gallons is a 24 ft round pool?
A 24-foot diameter round pool filled to a 4-foot water depth holds roughly 13,539 US gallons. The exact figure depends on the actual water depth, since above-ground pools are usually filled a bit below the top of the wall.
Should I measure the wall height or the water depth?
Use the actual water depth, not the wall height. Above-ground pools are typically filled to about 85–90% of the wall height so the water line stays below the skimmer opening, so using the full wall height will overstate the volume.
How do I convert pool circumference to diameter?
Divide the circumference by π (about 3.14159) to get the diameter, or by 2π to get the radius directly. This calculator does that conversion for you if you select circumference as your measurement.
What size liner do I need for a round pool?
A common starting formula is Liner Diameter = Pool Diameter + (2 × Wall Height) + Overlap Allowance, using an overlap of a few inches to anchor the liner under the top rail. This calculator estimates a liner diameter automatically from your entered dimensions.
How much sand do I need under an above-ground pool?
A common base layer is about 2 inches of pool-grade sand across the entire floor area. This calculator multiplies your pool's surface area by the sand thickness you set to estimate the volume needed in cubic yards.
What size pump do I need for a round pool?
A common target is a full water turnover every 8 to 10 hours. This calculator divides your pool's total gallons by your chosen turnover time to estimate the pump flow rate, in gallons per minute, to look for when shopping.