Reference · Equations
Tank volume formulas.
For engineers, students and spreadsheet builders: each shape's total and partial-fill formula, a short derivation, a worked example, and a fill-ratio table at 5% depth steps you can copy straight into a model. Every number is generated by the same verified engine that runs our calculators.
FORMULA
Horizontal Cylinder
V = πr²L
FORMULAVertical Cylinder
V = πr²H
FORMULARectangular Tank
V = L·W·H
FORMULAElliptical (Oval) Tank
V = πab·L
FORMULAObround Tank (275/330 Oil Profile)
V = (πR² + W·S)·L, R=W/2, S=Ht−W
FORMULACapsule Tank (Hemispherical Heads)
V = πr²Lcyl + (4/3)πr³
FORMULA2:1 Ellipsoidal Heads
V = πr²Lcyl + (2/3)πr²a, a = D/4
FORMULAASME F&D (Torispherical) Heads
V ≈ πr²Lcyl + 2·0.0809·D³
FORMULACone-Bottom Tank
V = πr²Hcone/3 + πr²Hcyl
FORMULAVertical Tank, 2:1 Dished Bottom
V = (2/3)πr²a + πr²Hcyl, a = D/4
FORMULAFrustum (Tapered) Tank
V = πH(R²+Rr+r²)/3
FORMULASpherical Tank
V = (4/3)πr³
Want the number, not the math? The universal calculator evaluates all of these live, and the dip chart generator prints the full table for your dimensions.