Barrel Volume Calculator (V ≈ πh(2D²+d²)/12)
This calculator computes the barrel volume: exact formula V ≈ πh(2D²+d²)/12, worked example h = 4, D = 3, d = 2 ft → 23.04 ft³ ≈ 172 gal.
- Free, instant, any units.
Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.
How the barrel volume Calculator Works
The calculator applies the exact formula V ≈ (πh/12)·(2D² + d²). Worked example: h = 4 ft, D = 3 ft, d = 2 ft → V = 23.04 ft³ ≈ 172 US gal. Keep every input in one unit system and the result follows in cubic units (m³, ft³, liters); full precision is kept until the final rounding. Radius fields expect radii — halve any diameter before entering it.
- 1
Enter the measurements
Type the values required by the formula for barrel volume.
- 2
Check the units
One unit system throughout — cm, m, ft or in.
- 3
Read the result
The calculator substitutes, evaluates and rounds only at the end.
Use Cases
Sizing tanks, silos and material estimates
Homework, exams and engineering checks
Verifying spreadsheet formulas before ordering materials
Tips
- 1
Volume scales with the cube of linear dimensions
- 2
Convert results: 1 m³ = 1000 L, 1 ft³ = 7.48 US gal
- 3
π ≈ 3.14159 — precision kept to the last step
Common Mistakes
Mixing units (cm radius with m height)
Entering a diameter where the formula wants a radius
Forgetting the solid must be closed — check h > 0
FAQs
Related tools
Pick another tool to continue your calculation.
Truncated Cone Calculator (V = ⅓πh(R²+Rr+r²))
Calculate truncated cone frustum volume.
Ellipsoid Volume Calculator (V = ⁴⁄₃πabc)
Calculate 3D ellipsoid volume.
Paraboloid Volume Calculator (V = ½πa²h)
Calculate volume of paraboloid of revolution.
Spherical Cap Volume Calculator (V = πh²(3R−h)/3)
Calculate detailed spherical cap volume and area.
Torus Volume Calculator (V = 2π²Rr²)
Calculate torus volume and surface area.
Triangle Calculator (Heron + ½bh)
Calculate triangle properties including area, perimeter, angles, and sides. Free online triangle calculator for geometry problems. Solve any triangle with ease.