A tanker arrives with 25 tonnes of bitumen at 160°C. Your tank is 3 m × 6 m and already 40% full. Does the load fit? It doesn’t. The delivery needs 26.5 m³ and the tank has 25.4 m³ free.
This bitumen tank volume calculator gives you the capacity of a horizontal cylindrical tank in cubic metres and litres, plus the weight of bitumen inside in tonnes. It handles full tanks and partial fills. Below the tool you’ll find the formulas, worked examples, charts, and the temperature effect behind most weight errors.
How to Use the Bitumen Tank Volume Calculator
- 1Enter the tank diameter in metres. Use the inside diameter (excluding cladding).
- 2Enter the tank length in metres, measured along the straight cylinder.
- 3Enter the storage temperature (°C) and bitumen density in kg/m³ (default 1,030 @ 15°C). Read the temperature section below before accepting it.
- 4Choose full tank, percentage fill, or enter liquid dip depth directly.
- 5Click Calculate Volume. Read the result in m³, litres and tonnes.
The tool treats the tank as a straight horizontal cylinder with flat ends (or optional dished ends). A dipstick gives depth, and depth converts to volume with the segment formula.
Bitumen Tank Volume Formulas
1. Full Tank Volume
V = π × r² × L
Here r is the radius (diameter ÷ 2) and L is the length, both in metres. V comes out in m³. Multiply by 1,000 for litres.
2. Bitumen Weight
Weight (kg) = V (m³) × Density (kg/m³)
Divide by 1,000 for tonnes. Divide by 907.185 for US short tons.
3. Partial Fill from Liquid Depth
Area of liquid = r² × arccos((r − h) ÷ r) − (r − h) × √(2rh − h²)
V = Area × L
Here h is the depth of bitumen in metres, measured from the bottom of the shell. Work arccos in radians.
Quick Conversions
| Conversion | Value |
|---|---|
| 1 m³ | 1,000 litres |
| 1 m³ | 264.17 US gallons |
| 1 tonne | 1.1023 US tons |
| 1 US gallon | 3.785 litres |
Worked Examples
Full tank
The tank is 2 m in diameter and 6 m long.
Volume: π × 1² × 6 = 18.85 m³ (18,850 L)
Weight at 1,030 kg/m³: 19.42 tonnes
Weight at 944 kg/m³ (160°C): 17.79 tonnes
Partial fill
The same tank is 40% full by volume.
Volume: 18.85 × 0.40 = 7.54 m³ (7,540 L)
Weight at 944 kg/m³: 7.12 tonnes
Weight at 1,030 kg/m³: 7.77 tonnes
Dipstick reading
Tank 2.4 m D × 8 m L. Dipstick shows 0.9 m of bitumen.
Full volume: π × 1.2² × 8 = 36.19 m³
Depth ratio: 0.9 ÷ 2.4 = 37.5%
Liquid volume (segment formula): 12.40 m³
Share of full volume: 34.3%
At 944 kg/m³, bitumen weighs 11.70 tonnes. Typing 37.5% instead of 34.3% overstates volume by ~9%.
Will the delivery fit?
3 m × 6 m tank holds 42.41 m³. Currently 40% full (16.96 m³). Free space: 25.45 m³.
25-tonne load @ 944 kg/m³ takes 26.49 m³.
Result: DOES NOT FIT (needs 26.49 m³ > 25.45 m³ free)
At 1,030 default density, the load would seem to take 24.27 m³ and appear to fit. Density choice flips the answer!
Plant storage
A plant makes 800 tonnes of mix a day at 5.5% binder (44 tonnes bitumen/day, 132 tonnes over 3 days).
At 944 kg/m³, 132 tonnes needs ~140 m³ of working volume.
One 3 m × 12 m tank holds 84.8 m³ full.
Two 3 m × 12 m tanks hold 169.6 m³, leaving room for fill margin and bottom heel.
Bitumen Tank Capacity Chart
Full tanks, flat ends. Hot weight uses 944 kg/m³ (160°C).
| Diameter × length | Volume (m³) | Litres | Tonnes @ 1,030 | Tonnes @ 944 (160°C) |
|---|---|---|---|---|
| 1.5 m × 4 m | 7.07 | 7,069 | 7.3 | 6.7 |
| 1.8 m × 5 m | 12.72 | 12,723 | 13.1 | 12.0 |
| 2.0 m × 6 m | 18.85 | 18,850 | 19.4 | 17.8 |
| 2.2 m × 8 m | 30.41 | 30,411 | 31.3 | 28.7 |
| 2.5 m × 10 m | 49.09 | 49,087 | 50.6 | 46.3 |
| 3.0 m × 12 m | 84.82 | 84,823 | 87.4 | 80.1 |
Dipstick Depth to Volume Chart
Volume in a horizontal tank does not rise in step with depth. Find your depth as a share of diameter, then read the volume share. Interpolate between rows.
| Depth (% of diameter) | Volume (% of full tank) |
|---|---|
| 10% | 5.2% |
| 20% | 14.2% |
| 25% | 19.6% |
| 30% | 25.2% |
| 40% | 37.4% |
| 50% | 50.0% |
| 60% | 62.6% |
| 70% | 74.8% |
| 75% | 80.4% |
| 80% | 85.8% |
| 90% | 94.8% |
Half depth is exactly half volume. Near the middle of the tank, a small change in level moves a lot of bitumen, so a 20 mm error in a dip reading matters more there than at either end. Build-up on the tank walls changes the true diameter too, and industry fact sheets warn that horizontal tanks suffer more from this than vertical ones.
Why Temperature Changes Bitumen Weight (ASTM D4311)
Bitumen expands when heated, so each cubic metre holds less mass at 160°C than at 15°C. ASTM D4311 Standard Practice sets the base temperature for asphalt volume at 15°C and uses an expansion coefficient of 0.00063 per °C for asphalts denser than 966 kg/m³ at that temperature. Lighter grades use 0.00072.
| Temperature | Density (kg/m³) | Litres per tonne |
|---|---|---|
| 15°C | 1,030 | 971 |
| 25°C | 1,024 | 977 |
| 100°C | 978 | 1,023 |
| 120°C | 966 | 1,035 |
| 140°C | 955 | 1,047 |
| 150°C | 949 | 1,053 |
| 160°C | 944 | 1,060 |
| 170°C | 938 | 1,066 |
| 180°C | 933 | 1,072 |
Bitumen is commonly stored around 150°C to 160°C, so a tank at working temperature holds about 9% less weight per cubic metre than the 1,030 default implies. Get the density at 15°C from your supplier’s data sheet, then adjust it for your tank temperature.
Expansion also affects fill levels. A tank filled to 20 m³ at 15°C reaches about 21.8 m³ at 160°C, a rise of 9.1%. Leave headroom for it.
Tanks With Dished Ends
Many bitumen tanks have curved heads. The calculator assumes flat ends by default, so add head volume to the shell volume:
- 2:1 elliptical head: π × D³ ÷ 24 per head
- Hemispherical head: π × D³ ÷ 12 per head
For a 2 m diameter, two elliptical heads add 2.09 m³, which is 11% of the 18.85 m³ shell in Example 1. Two hemispherical heads add 4.19 m³, or 22%. Torispherical heads follow other formulas. Use the tank maker’s calibration chart for those.
Total Capacity vs Usable Capacity
The calculator returns geometric capacity. Usable capacity is smaller.
Heating coils must stay under the bitumen. Eurobitume Storage & Handling Guidance tells operators to consider coil position against bitumen level, because exposed coils overheat the product. The draw-off point sits above the tank bottom, so some bitumen stays unavailable. Industry fact sheets built on Refined Bitumen Association (RBA) Guidance subtract that unavailable volume, then take another 10% off to reach a safe working capacity. Your site procedure or tank maker sets the real limits.
How to Measure Your Tank
Measure the inside diameter of the steel shell. Insulation and cladding add to the outside. A tank that measures 2.2 m over the cladding but has a 2.0 m shell would be overstated by 21%, because volume grows with the square of diameter.
Measure length along the cylinder, not including the heads. If the tank has a calibration plate or dip chart, trust it over a tape measure.
Typical Tank Sizes
Spray distributor trucks commonly carry 1,000 to 4,500 US gallons, which is about 3.8 to 17 m³. Some larger trucks carry 14,000 to 16,000 litres. Plant storage tanks run from tens of cubic metres up to a few hundred. Terminal tanks reach thousands of cubic metres. One recent import terminal built a 7,250 m³ tank.
Common Mistakes
- ✕
Using outside diameter. Insulation inflates the capacity.
- ✕
Using the 15°C density for a hot tank. It overstates weight by about 9% at 160°C.
- ✕
Entering dip depth as volume %. A 25% depth is 19.6% volume. A 75% depth is 80.4%.
- ✕
Ignoring dished heads. They add 11% to 22% to a 2:1 tank.
- ✕
Entering millimetres in a metre field. A diameter of 2,000 instead of 2 makes volume 1,000,000 times too high.
- ✕
Reading tonnes as US tons. The gap is 10%.
- ✕
Filling to the brim cold. Bitumen expands as it heats.
For binder weight inside a mix, use the bitumen calculator. For sprayed binder under each layer, use the tack coat calculator. For mix weight, use the asphalt tonnage calculator.
Frequently Asked Questions
Q: What is the formula for bitumen tank volume?
For a horizontal cylinder, V = π × r² × L, where r is the inside radius and L is the length, both in metres. For a 2 m × 6 m tank that gives 18.85 m³.
Q: How many litres are in a tonne of bitumen?
At 1,030 kg/m³ a tonne is about 971 litres. At 160°C, with a density near 944 kg/m³, a tonne takes up about 1,060 litres.
Q: What density should I use for bitumen?
Use the density at your tank temperature. The 15°C figure from your data sheet works for cold product. For a tank at 160°C, adjust it with the expansion formula above. The 1,030 default sits near the 15°C end.
Q: How do I convert a dipstick reading to volume?
Divide the depth by the tank diameter, read the volume share from the chart, and enter that percentage in the partial fill field. Or use the segment formula.
Q: Does this calculator include dished ends?
The core formula treats a straight cylinder with flat ends. Select elliptical or hemispherical heads in the calculator options to include dished ends.
Q: How many gallons are in a cubic metre?
1 m³ is 264.17 US gallons. A 2 m × 6 m tank holds about 4,980 US gallons.
Q: Why does hot bitumen weigh less per cubic metre?
Heat expands the liquid. The same mass fills more volume, so each cubic metre holds less mass. A tank at 160°C holds about 9% less weight than the same tank at 15°C.
Q: What size tank do I need?
Size it from the volume you use between deliveries, plus the margin for expansion and the unusable bitumen at the bottom. Convert tonnes to m³ at your storage temperature.
Conclusion
A bitumen tank volume calculator gives you capacity and weight from three numbers: inside diameter, length and density. Use the density at your tank temperature, convert dip readings to volume before you enter them, and add head volume if your tank has dished ends. Then check what the tank can safely hold, since usable capacity is lower than total capacity.
Results are estimates for planning only. For tank design, loading and safety, consult a qualified process or mechanical engineer.