Cylindrical · Spherical · Rectangular · Cone Bottom · With Head Types
Geometric volume formulas, horizontal tank segments, and unit conversions
Capacity of a vertical cylindrical tank per foot of liquid height, by diameter, from V = π·r²·h × 7.48052 gal/ft³ (1 bbl = 42 US gal). Multiply by the liquid height in feet to get total volume; use the calculator above for partial fills, heads, and horizontal tanks.
| Tank diameter | Gallons per ft | Barrels per ft |
|---|---|---|
| 10 ft | 587.5 | 14.0 |
| 12 ft | 846.0 | 20.1 |
| 15 ft | 1,321.9 | 31.5 |
| 20 ft | 2,350.1 | 56.0 |
| 30 ft | 5,287.7 | 125.9 |
| 40 ft | 9,400.3 | 223.8 |
For a full horizontal cylinder, Volume = π × r² × Length. For partial fill, the formula uses the liquid height (h) and radius (r): V = Length × r² × [arccos((r-h)/r) - ((r-h)/r)×√(1-((r-h)/r)²)].
A standard oil barrel (bbl) contains exactly 42 US gallons. This is the standard unit for crude oil and petroleum product measurement in the United States.
A strapping table (or calibration chart) lists the volume of liquid in a tank at every incremental gauge height (e.g., every 1/4 inch). It allows operators to determine volume by simply measuring the liquid level.
Find the volume in cubic feet, then multiply by 7.48052 gallons per cubic foot (divide by 42 for barrels). For a vertical cylindrical tank, V = π·r²·h; a 12-ft-diameter tank holds about 846 gallons (20.1 bbl) per foot of height. The capacity chart above lists gallons and barrels per foot for common tank diameters.