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Cylinder volume in gallons calculator

Calculate the full internal capacity of a circular cylinder and compare both definitions of a gallon side by side.

Calculator

Full capacity
3.14159
US liquid gallons
829.92097897
Imperial gallons
691.05377447
Internal radius
1
Internal diameter
2
Internal height
1
Upright cylinder fill levels
Height filled (%)US liquid gallonsImperial gallons
25.00000000207.48024474172.76344362
50.00000000414.96048949345.52688724
75.00000000622.44073423518.29033085
100.00000000829.92097897691.05377447

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How this calculator works

Base area times internal height gives capacity. Dividing by each gallon definition produces two different counts for the same liquid. The fill table assumes an upright cylinder: capacity then grows linearly with liquid depth. A horizontal tank needs circular-segment geometry instead. Wall thickness and headspace are excluded.

Formula

V = πr²h = πd²h/4; US gallons = V/0.003785411784; imperial gallons = V/0.00454609, with V in m³. r = sqrt(V/(πh)); h = V/(πr²).

Worked example

A cylinder with internal radius 1 m and height 1 m holds π m³, about 829.92 US liquid gallons or 691.05 imperial gallons. At half its height it holds half those amounts.

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Frequently asked questions

Which gallon should I use in Canada?

Check the specification. Canadian products may use litres, US gallons or imperial gallons; the label must identify the definition.

Can I enter a diameter?

Yes. Choose diameter and height; the calculator halves the diameter before finding the base area.

Is half depth half capacity?

For an upright straight cylinder, yes. The quarter-depth rows do not apply to a cylinder lying on its side.

Sources

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