Barrel Volume Calculator – Elliptical Profile
Estimate full internal capacity for a symmetric barrel with elliptical sides and equal circular ends.
Formula
V = πh(r² + 2R²)/3; R = r + bulge. Lengths convert to meters; V is shown in liters.
Internal end radius: 20 cm · Extra radius at middle: 5 cm · Internal height: 60 cm · Full capacity ≈ pi×(60 cm × 0.01 m/cm)×((20 cm × 0.01 m/cm)^2+2×((20 cm × 0.01 m/cm)+(5 cm × 0.01 m/cm))^2)÷3×1000
How to use
- Measure the internal radius at either end.
- Enter the extra radius at the middle and the internal height.
- Read the capacity for the stated elliptical model.
Examples
- End radius 10 cm, extra radius 10 cm and height 30 cm give about 28.274334 L.
Frequently asked questions
What is the bulge input?
It is the middle radius minus the end radius; enter zero for a cylinder.
Is this exact for every barrel?
No. It is exact for the elliptical profile and only an estimate for other shapes.
Does it account for partial filling?
No. It gives full internal capacity; measure inside the wall.
Sources
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