Water Tank Capacity Calculator

Quick answer

A water tank capacity calculator finds how much a tank holds and how much water is in it now. A rectangular tank holds length x width x height, and a cylinder holds pi x radius squared x height or length. A lying 100 cm cylinder filled 25 cm deep is only 19.55 percent full, not 25 percent.

Updated 2026-09-28Reviewed by Prof. Dr. Khalil Mudassar, PhD
Try
Tank Volume
Pick the shape that matches the inside of your tank.
Inside length of the lying cylinder.
Inside diameter; this is also the tank height.
The diameter sets the height of a lying cylinder.
Depth from the lowest point inside. Leave blank for a full tank.

Water in the tank

--
Filled volume (cubic cm)--
Filled volume (US gallons)--
Total capacity--
Fill level (share of capacity)--
Room left to fill--

Calculations run in your browser. Inputs are not sent to our servers; anything you Save stays in this browser only.

Saved results (0)

How to Use the Water Tank Capacity Calculator

  1. Choose the tank shape: a rectangular box, an upright (vertical) cylinder, a lying (horizontal) cylinder, or a lying capsule with rounded ends.
  2. Enter the inside dimensions in centimetres. The labels change with the shape, and any field marked "not used" is ignored.
  3. Add the water depth if you want to know how much is in the tank now, then read the filled volume, total capacity and fill level. Leave the depth blank to see full capacity.

Here is what each result means:

ResultWhat it means
Water in the tankThe filled volume in litres at the depth you entered (or the full capacity if the depth is blank).
Filled volume (cubic cm)The same amount in cubic centimetres, the unit the formulas work in.
Filled volume (US gallons)The same amount in US liquid gallons.
Total capacityHow much the tank holds when completely full, in litres and cubic centimetres.
Fill levelFilled volume as a share of total capacity. For round tanks this is not the same as the depth percentage.
Room left to fillTotal capacity minus the water already in the tank, in litres.

What Is Water Tank Capacity?

Water tank capacity is the total volume of water a tank can hold when it is full, measured from its inside dimensions. The filled volume is the part of that capacity occupied by water right now, and it depends on both the depth and the shape of the tank.

The number helps homeowners sizing a rainwater or storage tank, farmers checking a stock-water trough, and anyone who needs to know how many litres are left in a lying diesel-style or water bowser tank. It is a geometric volume, not a rated or certified capacity: a manufacturer may list a nominal figure that differs from the true inside volume because of wall thickness, fittings and the space kept free at the top.

Capacity in litres links directly to other planning numbers. Daily use, rainfall catch and pump output are all volumes over time, so a correct tank volume is the starting point for estimating how long a supply will last.

How Does the Water Tank Capacity Calculator Work?

It measures the cross-section of water in the tank and multiplies it by the tank length or height, using an exact geometric formula for each shape.

Formulas: Rectangular V = L x W x h | Vertical cylinder V = pi x r^2 x h | Horizontal cylinder V = L x (r^2 x acos((r - h) / r) - (r - h) x sqrt(2rh - h^2)) | Capsule V = (L - D) x segment area + pi x h^2 x (3r - h) / 3
  1. For a box or an upright cylinder, the water surface area is constant, so volume is simply the base area times the depth h.
  2. For a lying cylinder, the wetted cross-section is a circular segment. Its area is r^2 x acos((r - h) / r) minus (r - h) x sqrt(2rh - h^2), and multiplying by the length L gives the filled volume.
  3. For a capsule, the straight body (total length minus the diameter) uses the same segment area. The two hemispherical ends together form one sphere, and the water in them is a spherical cap of volume pi x h^2 x (3r - h) / 3.
  4. The result in cubic centimetres is divided by 1,000 for litres and by 3,785.411784 for US gallons.

Water Tank Capacity Example

Suppose a lying cylindrical tank is 200 cm long with an inside diameter of 100 cm, and a dipstick shows 25 cm of water.

Total capacity: r = 50 cm, so pi x 50^2 x 200 = 1,570,796 cm3 = 1,570.80 L = 414.96 US gal.

Water in the tank: (r - h) / r = 25 / 50 = 0.5, and acos(0.5) = 1.0472 radians. The segment area is 2,500 x 1.0472 - 25 x sqrt(2,500 - 625) = 2,617.99 - 1,082.53 = 1,535.46 cm2. Times 200 cm, that is 307,092 cm3 = 307.09 L = 81.13 US gal.

The water is a quarter of the way up, yet the tank is only 19.55% full, with about 1,263.70 L of room left. The narrow bottom of a round tank holds less than the wide middle, which is why a straight depth-percentage guess overstates what is left.

Factors That Change Your Result

The formulas are exact, so differences come from the measurements and the shape you choose.

Inside Versus Outside Dimensions

Wall thickness takes volume away. Measuring the outside of a thick concrete or plastic tank overstates capacity, and the error grows with every dimension because it is multiplied three times.

Tank Orientation

The same cylinder standing up or lying down holds the same total volume, but the link between depth and volume is completely different. An upright tank fills in a straight line; a lying tank fills slowly at the bottom, quickly through the middle and slowly again near the top.

End Shape

Flat, hemispherical, dished and elliptical ends hold different amounts. The capsule option assumes true hemispherical ends; for dished ends it will overstate the end volume somewhat.

Where Depth Is Measured

Depth must be taken from the lowest point inside the tank. A reading from a sight tube or a fitting set above the floor needs that offset added first. For a quick check of a round cross-section, the circle calculator gives the full area of any diameter.

Horizontal vs Vertical Tanks: How Depth Maps to Volume

An upright tank turns depth into volume in a straight line, while a lying round tank does not. The table shows the share of total capacity at each depth, computed with the segment and spherical cap formulas above.

Water depth (share of height)Rectangular or vertical cylinderHorizontal cylinderSphere (capsule ends)
10%10%5.20%2.80%
25%25%19.55%15.63%
50%50%50%50%
75%75%80.45%84.38%
90%90%94.80%97.20%

Only at half depth do all shapes agree. A capsule sits between the horizontal cylinder and sphere columns, closer to the cylinder when its straight body is long. The arc length and sector area calculator shows the same segment geometry on a single circle.

When to Use a Water Tank Capacity Calculation

Checking How Much Water Is Left

Dip the tank, enter the depth and read the litres remaining. This matters most for lying tanks, where guessing from depth is least reliable.

Sizing a New Tank

Compare the capacity of different shapes and sizes before buying, and set it against your daily use. If you are matching supply to demand, the well flow rate calculator helps estimate how fast a tank can be refilled.

Calibrating a Dipstick or Gauge

Run the calculator at several depths, such as every 10 cm, and mark the litre values on a stick or chart. That turns a simple depth reading into a volume reading for that exact tank.

Common Mistakes

1. Treating Depth Percentage as Volume Percentage

In a lying cylinder, a quarter of the depth is only 19.55 percent of the volume. Using the depth share overstates the water left when the tank is low.

2. Mixing Up Radius and Diameter

The formulas use the radius, which is half the diameter. Entering a radius where the tool asks for a diameter cuts the volume to a quarter.

3. Measuring the Outside of the Tank

Outside dimensions include the walls. Use inside measurements, or subtract twice the wall thickness from each outside dimension.

4. Mixing Units

Every dimension must be in centimetres. One value in metres or inches makes the result wrong by a large factor.

5. Confusing US and Imperial Gallons

The tool reports US liquid gallons. An imperial gallon is larger, so the same tank shows fewer imperial gallons.

6. Using Total Length for the Body of a Capsule

Enter the full end-to-end length here; the calculator subtracts the diameter itself to find the straight body. Subtracting it twice would undercount the tank.

Accuracy and Limitations

The geometry is exact for the shapes offered, so accuracy depends on how well your tank matches the chosen shape and how carefully it is measured.

What it calculates accurately

  • Total and filled volume of ideal boxes, cylinders and hemispherical-ended capsules
  • Partial fill of lying tanks by the exact circular segment formula, not a straight-line estimate
  • Unit conversion to litres and US gallons with fixed factors

What it does not account for

  • Dished, elliptical, cone-bottom or irregular tank shapes
  • Wall thickness, internal baffles, pipes or sediment
  • Tank tilt, bulging of flexible tanks, or water expanding with temperature
  • The maker's rated capacity or any safety headroom they specify

How We Calculate Tank Volume

Method
Base area times depth for boxes and upright cylinders; circular segment area times length for lying cylinders; segment plus spherical cap for capsules.
Inputs used
Tank shape, inside length, width or diameter, height, and optional water depth, all in centimetres.
Assumptions
The tank is level, has the ideal shape chosen, and the depth is measured from the lowest inside point. A blank depth means a full tank.
Unit factors
1 L = 1,000 cm3; 1 US gallon = 3,785.411784 cm3 (NIST lists 3.785 412 L, rounded).
Rounding
Cubic centimetres to whole numbers; litres, gallons and percentages to two decimals. Full precision is kept until display.
Edge cases
Zero or negative sizes are blocked; a depth above the inside height is capped at full; a capsule shorter than its diameter is rejected.
Sources
Wolfram MathWorld geometry and NIST unit references (listed under Sources below).
Last reviewed
2026-09-28.

Frequently Asked Questions About Water Tank Capacity

How do I work out the litres in a partly full horizontal tank?

Choose the horizontal cylinder shape, enter the length, the inside diameter and the water depth. The calculator finds the circular segment of water at that depth and multiplies it by the length, then converts to litres.

Why is my lying tank only 19.55 percent full at a quarter depth?

Because a round tank is narrow at the bottom and widest in the middle. The first quarter of the depth covers a thin sliver of the circle, so it holds much less than a quarter of the volume.

How many litres are in a cubic metre?

One cubic metre is 1,000 litres, and one litre is 1,000 cubic centimetres. So a tank 100 cm on every side holds 1,000,000 cubic centimetres, which is 1,000 litres.

How many litres are in a US gallon?

One US liquid gallon is 3.785411784 litres, which NIST lists rounded as 3.785 412 L. The calculator divides cubic centimetres by 3,785.411784 to report US gallons.

Can I get the answer in imperial gallons?

Not directly, but you can convert the litre figure yourself. NIST lists one imperial gallon as 4.546 09 litres, so divide the litres shown by 4.54609.

What if my tank has flat ends instead of rounded ones?

Use the horizontal cylinder option. The capsule option is only for tanks whose ends are true half-spheres; flat ends hold the same volume as the straight body.

How do I measure the water depth accurately?

Lower a clean straight stick to the lowest point inside the tank, pull it out and measure the wet mark. On a lying tank, measure through a top opening near the middle of the length.

Why does another calculator give a different answer?

The usual causes are a straight-line depth estimate for a lying tank, outside instead of inside dimensions, or imperial rather than US gallons. Check which method and units the other tool uses.

Does the calculator work in inches or feet?

It works in centimetres only, so convert first. Multiply inches by 2.54 to get centimetres before entering them.

Is my data saved?

No. The calculation runs entirely in your browser. Nothing is sent to our servers, and anything you choose to Save stays in this browser only.

Sources

Related guides

Related Calculators

Planning a tank, pool or building project?

Explore all construction calculators

This calculator is for general planning and education only and is not engineering, plumbing or structural advice. Results are geometric estimates based on the dimensions you enter. Confirm critical capacities, loads and installations with the tank maker or a qualified professional. Spotted an error? Let us know.

Author

shakeel-Muzaffar
Founder & Editor-in-Chief at  ~ Web ~ More Posts

Shakeel Muzaffar is the Founder and Editor-in-Chief of MultiCalculators.com, bringing over 15 years of experience in digital publishing, product strategy, and online tool development. He leads the platform's editorial vision, ensuring every calculator meets strict standards for accuracy, usability, and real-world value. Shakeel personally oversees content quality, formula verification workflows, and the platform's commitment to publishing tools that are genuinely useful for students, professionals, and everyday users worldwide.