The purpose
What does this calculator estimate?
Estimate the volume of a curved kidney pool in gallons, liters & cubic feet using the industry-standard method.
Volume & Capacity · A4
Estimate the volume of a curved kidney pool in gallons, liters & cubic feet using the industry-standard method.
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Live calculation
✓ Checked May 2026
Enter the overall length and the two widths (wide end and narrow end).
Calculated result
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Enter the required values to calculate.
Enter the known values. Let the engine handle the calculation.
Planning estimate only. Confirm product labels, equipment specifications, qualified-professional advice and local requirements before acting.
The result, explained
Estimate the volume of a curved kidney pool in gallons, liters & cubic feet using the industry-standard method.
The purpose
Estimate the volume of a curved kidney pool in gallons, liters & cubic feet using the industry-standard method.
The tool
The method
The relationship
Volume = 0.45 × (Width₁ + Width₂) × Length × Avg. Depth × 7.48
0.45 is the pool-industry constant for kidney curves | ×7.48 converts ft³ → US gallonsWorked through
| Length | Widths (W₁ / W₂) | Surface area | Volume (US gal) | Water weight | Fill time @ 9 GPM |
|---|---|---|---|---|---|
| 24 ft | 12 / 8 ft | 216 ft² | 8,078 | 33.7 tons | ~15 hrs |
| 28 ft | 14 / 9 ft | 290 ft² | 10,839 | 45.2 tons | ~20 hrs |
| 32 ft | 16 / 10 ft | 374 ft² | 14,003 | 58.4 tons | ~26 hrs |
| 36 ft | 18 / 11 ft | 470 ft² | 17,572 | 73.3 tons | ~33 hrs |
| 40 ft | 20 / 12 ft | 576 ft² | 21,542 | 89.8 tons | ~40 hrs |
Why it matters
Measure the two widths at the widest and narrowest points, and the length end to end through the curve.
The 0.45 constant is an industry approximation — expect the result to be within about 5% of the true volume.
Good inputs
The boundary
Measurements, equipment specifications, site conditions and local requirements can change the practical result.
The engine reports invalid inputs and safety warnings beside the result. Resolve those messages before using the estimate.
Before acting
Common questions
A kidney shape is too irregular for a clean geometric formula, so the pool industry uses an empirical constant of 0.45 applied to the average of the two widths times the length. It gives a reliable estimate — typically within 5% of the true volume — without needing to map the exact curve.
Measure the first width at the widest point — usually the larger lobe — and the second at the narrowest point, often the waist where the kidney curves inward. The length is the longest straight-line distance from one end to the other.
The 0.45 method is accurate to roughly ±5% for typical kidney shapes. Pools with an exaggerated curve or a second lobe may vary more. For most purposes — chemical dosing, fill time, heater sizing — that margin is well within acceptable tolerance.
A common 32 ft kidney pool with widths of 16 ft and 10 ft at 5 ft average depth holds approximately 14,000 US gallons. Smaller backyard kidneys often fall between 10,000 and 15,000 gallons.
Round up. Because this is an approximation, slightly overestimating ensures you don't under-dose chemicals or undersize equipment. A pool that's treated as marginally larger than reality stays safely balanced; the reverse can leave it under-protected.
Multiply 0.45 by the sum of the two widths, then by the length and the average depth, then by 7.48 to convert to US gallons. The 0.45 constant accounts for the curved kidney shape.
A 28 ft kidney pool with widths of 14 ft and 9 ft at 5 ft average depth holds approximately 10,839 US gallons (41,029 litres).
No — it's an estimate within about 5% because the kidney shape doesn't fit a precise formula. The industry 0.45 constant gives a dependable working figure for dosing and equipment sizing.
Primary sources
These official references support safe planning context. Product labels, local requirements and qualified-professional advice take priority over a general calculator estimate.