Calculating swimming pool volume is essential for determining chemical requirements, filtration capacity, and water costs. Pool volume depends on shape, depth, and dimensions. Understanding how to calculate pool volume for different shapes ensures proper maintenance and operation of your swimming pool.
Rectangular Pool Volume
Formula:
Volume = Length Γ Width Γ Average Depth
Volume in gallons = Volume in cubic feet Γ 7.48
Example: Standard rectangular pool
Length: 20 feet
Width: 15 feet
Depth: 5 feet (assuming uniform)
Volume: 20 Γ 15 Γ 5 = 1,500 cubic feet
Gallons: 1,500 Γ 7.48 = 11,220 gallons
Non-Uniform Depth
For sloped pool bottoms:
Average Depth = (Deep end + Shallow end) Γ· 2
Volume = Length Γ Width Γ Average Depth
Example: Pool with slope
Length: 30 feet
Width: 20 feet
Shallow end: 3 feet
Deep end: 8 feet
Average depth: (3 + 8) Γ· 2 = 5.5 feet
Volume: 30 Γ 20 Γ 5.5 = 3,300 cubic feet
Gallons: 3,300 Γ 7.48 = 24,684 gallons
Circular/Round Pool Volume
Formula:
Volume = Ο Γ radiusΒ² Γ depth
Example: Round pool
Diameter: 18 feet
Radius: 9 feet
Depth: 4 feet
Volume: 3.14159 Γ 9Β² Γ 4 = 1,017.9 cubic feet
Gallons: 1,017.9 Γ 7.48 = 7,614 gallons
Kidney-Shaped or Irregular Pools
Divide into manageable sections:
Example approach:
Approximate as 2 rectangles + 1 semi-circle
Calculate each separately
Sum for total
Common Pool Sizes and Volumes
| Pool Type | Dimensions | Gallons |
|---|---|---|
| Small above-ground | 12Γ24 ft, 4 ft | 8,600 |
| Large above-ground | 18Γ33 ft, 4.5 ft | 22,000 |
| Olympic | 164Γ82 ft, 7 ft | 660,000 |
| Small residential | 15Γ30 ft, 5 ft | 16,875 |
| Large residential | 20Γ40 ft, 6.5 ft | 38,960 |
Water Chemical Calculations
Pool volume determines chemical dosages:
Example: Chlorine addition
Pool volume: 15,000 gallons
Chlorine needed: 1-3 ppm
Requires proper calculation based on testing
Water Circulation and Filtration
Pool pump sizing depends on volume:
Turnover rate: Water should circulate 1-2Γ daily
Pump capacity: Volume Γ· Turnover hours
Example: 20,000 gallon pool, 2Γ daily turnover
Daily circulation: 20,000 Γ 2 = 40,000 gallons
Pump needed: 40,000 Γ· 24 hours = 1,667 gallons/hour
Or: ~25 GPM pump
Fill Time Calculation
Calculate time to fill pool:
Fill time (hours) = Volume (gallons) Γ· Flow rate (gallons/hour)
Example:
Pool volume: 15,000 gallons
Hose flow rate: 60 gallons/minute = 3,600 gallons/hour
Fill time: 15,000 Γ· 3,600 = 4.17 hours (about 4 hours 10 minutes)
Water Cost Calculation
Estimate ongoing water costs:
Monthly cost = Volume Γ Water rate
Example:
Initial fill: 20,000 gallons
Water rate: $5 per 1,000 gallons
Evaporation/use: 500 gallons/week Γ 4 = 2,000 gallons/month
Monthly water cost: 2,000 Γ ($5/1,000) = $10
Chemical Cost by Pool Size
| Pool Size | Monthly Chlorine | Monthly Chemicals |
|---|---|---|
| 10,000 gallons | $10-15 | $25-40 |
| 15,000 gallons | $15-20 | $35-50 |
| 20,000 gallons | $20-25 | $45-65 |
| 30,000 gallons | $30-40 | $65-95 |
Volume Change with Season
Account for water loss:
Evaporation: 1/4 inch per day (0.5-1% of volume monthly)
Backwashing: 25-50% pool volume weekly
Maintenance: Drain and refill annually
Example: 20,000 gallon pool
Monthly evaporation: 20,000 Γ 0.5% = 100 gallons
Weekly backwash: 20,000 Γ 30% = 6,000 gallons/week = 1,500 gallons/month
Water loss: 100 + 1,500 = 1,600 gallons/month
Annual water cost: 1,600 Γ 12 Γ $0.005 = $96
Oval Pool Volume
Formula:
Volume = Ο Γ (Length/2) Γ (Width/2) Γ Depth
Example: Oval pool
Length: 30 feet
Width: 20 feet
Depth: 4 feet
Volume: 3.14159 Γ 15 Γ 10 Γ 4 = 1,885 cubic feet
Gallons: 1,885 Γ 7.48 = 14,099 gallons
Real-World Example: Backyard Pool
Dimensions: 15 Γ 30 feet
Shallow end: 3 feet
Deep end: 7 feet
Average depth: 5 feet
Volume: 15 Γ 30 Γ 5 = 2,250 cubic feet
Gallons: 2,250 Γ 7.48 = 16,830 gallons
Initial fill:
Water rate: $5 per 1,000 gallons
Cost to fill: 16,830 Γ· 1,000 Γ $5 = $84.15
Weekly water loss: ~125 gallons (evaporation)
Pump turnover: 16,830 Γ· 8 hours = 2,104 GPH needed
Chemical costs (monthly):
Chlorine: $20
Stabilizer: $8
Algaecide: $5
Test strips: $3
Total: ~$36/month
Pool Efficiency Tips
Reduce volume and costs:
- Reduce depth in shallow areas
- Use saltwater system (lower chemical cost)
- Proper cover reduces evaporation 95%
- Efficient pump lowers energy costs
- Proper circulation reduces chemical needs
Use our Pool Volume Calculator to instantly calculate pool volume for maintenance and cost planning.