Gallons

Volume of Cylinder in Gallons Formula

Turn tank or container dimensions into gallons in one tap — with a clear US vs Imperial gallon choice so you never mix the two up.

The single most important thing a volume of cylinder in gallons formula has to get right is which gallon you mean. A US gallon and an Imperial gallon are not the same size, so this tool asks you to choose — and shows both, so there is never any doubt about the number you are reading.

Capacity questions almost always end in gallons — filling a stock trough, ordering heating oil, dosing a pool. The catch is that a gallon is not one fixed thing, so the same tank can be 200 gallons or 240 gallons depending on which side of the Atlantic you are standing on.

How the volume is worked out

The volume of a cylinder is:

V = π r² h

A worked example

Worked example. Take a cylinder with a diameter of 30 in (so a radius of 15 in) and a height of 48 in. The base area is π × 15² = 706.86 in², and multiplying by the height gives a volume of about 146.9 US gallons (33,929 in³ · 556.0 litres).

UnitEqual to
1 US gallon231 in³ · 3.785 L
1 Imperial gallon277.42 in³ · 4.546 L
1 cubic foot7.481 US gal · 28.32 L
1 litre0.264 US gal · 0.220 Imp gal
1 US gallon128 US fl oz

These are geometric gallons from the dimensions you enter. A real tank holds slightly less once wall thickness, fittings and headspace are taken into account — and always confirm whether you need US or Imperial gallons.

Conversions use standard factors: 1 US gallon = 231 in³, 1 Imperial gallon = 4.54609 L, 1 litre = 1000 cm³.

Using the calculator

  1. Measure across the circular end — the diameter or radius.
  2. If you measured the diameter, halve it to get the radius r.
  3. Square the radius and multiply by π to get the base area.
  4. Multiply the base area by the height h: V = π r² h.
  5. Convert the result into your preferred unit above.

Getting an accurate measurement

Measure the inside diameter of a tank, not the outside — the wall does not hold liquid. Keep every measurement in the same system, and let the tool convert between units for you.

What people work out next

To save you a second search, here are the related answers people most often want straight after this calculation:

How do I read a tank that is only part full?

For an upright tank, enter the current liquid height instead of the full height. For a tank lying on its side, use the horizontal-tank mode, which turns a dip depth into gallons using the correct segment maths.

Is the answer US or Imperial?

Both are shown at once. In the United States use US gallons; most other English-speaking countries use the larger Imperial gallon. Mixing the two is the single most common tank-sizing error.

How many litres is that in metric?

Every gallons result on this page is shown next to its litre value in the breakdown, because 1 US gallon is about 3.785 litres and 1 Imperial gallon is about 4.546 litres. You can hand the same figure to anyone regardless of which system they use.

What if I only measured around the outside?

You do not need the diameter directly. Measure the circumference around the tank, switch the base input to circumference, and the tool divides by 2 pi to find the radius before working out the gallons.

Where people go wrong

The mistakes that cost the most are unit mistakes. Reading a US figure as Imperial, or the reverse, is a 20% error before you start. Measuring the outside of a tank instead of the inside quietly overstates capacity, and forgetting the headspace at the top overstates it again. Measure inside, confirm which gallon, and treat the result as a full-to-the-brim maximum.

Getting the number in the unit you need

One number, many units. Whatever you enter, the result lists the same volume as litres, US gallons, Imperial gallons, millilitres, cubic centimetres, cubic inches, cubic feet, cubic yards and cubic metres at the same time. You almost never have to convert by hand: read the figure in the unit your job uses and copy any of the others straight from the breakdown. If you need a shareable version, the copy-link button preserves your exact inputs so a colleague opens the page with the same calculation already filled in.

Keep going

Once you have your answer you may also want to work in tank capacity litres & liters cubic feet. These related calculators pick up where this one leaves off:

Common uses

It comes in handy across quite different tasks:

  • Sizing a water storage or rainwater tank
  • Working out fuel or oil drum capacity
  • Estimating how many gallons a pool or trough holds
  • Checking a well or cistern volume

In short: measure the width and the height, keep them in the same unit, and the tool turns them into a volume you can read in litres, gallons, cubic feet or anything else, with the working shown so you can trust it. If a result ever looks off, re-enter the measurement you are least sure of, or switch to the diameter input and let the tool halve it for you, which catches the most common error before it matters.

Questions people ask

What is the difference between US and Imperial gallons?
An Imperial gallon (about 4.546 litres) is larger than a US gallon (about 3.785 litres). Always confirm which one you need — the tool shows both so you can't mix them up.
How do I convert cubic inches to gallons?
Divide the cubic inches by 231 for US gallons, or by roughly 277.42 for Imperial gallons. For example, 462 in³ ÷ 231 = 2 US gallons.
Does the gallon figure account for wall thickness?
No. It is the geometric capacity from the dimensions you enter. Measure the inside of a tank, and remember real usable capacity is a little less once fittings and headspace are considered.
What is the formula for the volume of a cylinder?
The volume is V = π r² h — the area of the circular base (π r²) multiplied by the height (h). If you have the diameter instead of the radius, halve it first: r = d ÷ 2.
Do I use radius or diameter?
Either — just tell the calculator which you are entering. The radius is from the centre to the edge; the diameter is the full width across. The tool converts diameter to radius automatically.
What units can I use?
Any of millimetres, centimetres, metres, inches, feet or yards for the measurements, and you can read the result in litres, gallons, cubic feet, cubic inches and more.

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