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Tank Diagram
—HEIGHT—RADIUS—DIAMETER—

Height

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Radius

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Diameter

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Volume

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Not to scale · updates live

Result

Enter height and volume to see the result.

How to find the diameter a tank needs

Start from the capacity you want and the height you've got. The tool solves for the width.

  1. 01

    Enter the capacity you need

    Type the volume and pick litres or cubic metres. Those are the only two volume units here, so convert gallons first (1 US gallon is 3.785 L).

  2. 02

    Enter the height you can allow

    This is the usable liquid height, set by a ceiling, a shed roof or a stand. Pick its unit from the dropdown: mm, cm, m, km, inches, feet or yards.

  3. 03

    Read the radius and diameter

    Both come back in the same unit as the height, from d = 2 × √(V ÷ (π × h)). For 5,000 L in 2.2 m of height, that's a diameter of 1.70 m.

Diameter needed for common capacities

Each cell is the inside diameter a cylinder needs to hold that volume at that height. It's the quickest way to see whether a tank will fit a space before you shop for one.

Capacity1.0 m tall1.5 m tall2.0 m tall
500 L0.80 m0.65 m0.56 m
1,000 L1.13 m0.92 m0.80 m
2,000 L1.60 m1.30 m1.13 m
5,000 L2.52 m2.06 m1.78 m
10,000 L3.57 m2.91 m2.52 m

Because diameter grows with the square root of volume, doubling the capacity only makes the tank about 41% wider (√2 ≈ 1.414). Going from 1,000 L to 2,000 L at 1.5 m tall takes the diameter from 0.92 m to 1.30 m.

Leave room for air and walls

Tanks shouldn't be filled to the brim. Overflow pipes and inlet floats usually sit below the top, so plan on about 10% headspace. In the rainwater example, a 2.2 m tall tank with 10% kept empty has 1.98 m of liquid height. Holding 5,000 L in that needs a diameter of 1.79 m instead of 1.70 m.

The answer is also an inside diameter. Add twice the wall thickness to get the outside width, and then check it against the narrowest point it has to pass: a gate, a doorway or a stairwell. A tank that fits the plinth but not the gate is a common and expensive surprise.

When the width is the unknown

Fitting a tank under a low roof

When height is fixed by a shed or a loft, this tells you how wide the tank has to be, so you can measure the floor before you order.

Comparing tall-and-thin with short-and-wide

Try the same volume at two heights. A short, wide tank is more stable but takes floor space; a tall, narrow one does the opposite.

Sizing a custom container

Packaging and fabrication work often starts from a target volume and a height limit. The diameter is the last dimension to fix.

Frequently asked questions

d = 2 × √(V ÷ (π × h)), or the same thing written as √(4V ÷ (π × h)). V and h must be in matching units, which the tool sorts out for you.
Not directly. Volume is litres or cubic metres only. Multiply US gallons by 3.785, or imperial gallons by 4.546, and enter litres.
It quadruples it, because the radius is squared in the volume formula. That's why small changes in diameter matter much more than small changes in height.
No, it's the space the liquid needs. Add the wall thickness on both sides for the outside diameter.

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