Calculate blimp volume, length, or diameter from any two values and see the missing result in your chosen unit with m, ft, in, cm, L, ft³, or gal.
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Blimp Volume Formula
The calculator treats the blimp envelope as a prolate spheroid, which is an elongated sphere. Enter any two values, and it solves for the missing length, diameter, or volume.
V = (pi/6)*L*D^2
- V = blimp volume
- L = blimp length
- D = maximum blimp diameter
- pi = 3.14159…
To calculate the missing value, the same formula is rearranged:
L = (6*V)/(pi*D^2)
D = sqrt((6*V)/(pi*L))
- Volume calculation: uses length and diameter to estimate the internal gas volume.
- Length calculation: uses volume and diameter to find the required blimp length.
- Diameter calculation: uses volume and length to find the required maximum diameter.
Common Blimp Volume Unit Conversions
Use these conversions to check results when switching between metric and U.S. customary units.
| Unit | Equivalent |
|---|---|
| 1 cubic meter, m³ | 35.3147 cubic feet |
| 1 cubic foot, ft³ | 0.0283168 cubic meters |
| 1 cubic meter, m³ | 1,000 liters |
| 1 U.S. gallon | 0.00378541 cubic meters |
Typical Length-to-Diameter Ratios
The formula works for any positive length and diameter, but real blimp shapes are usually longer than they are wide.
| Length ÷ Diameter | Shape Description |
|---|---|
| 2:1 | Short, rounded envelope |
| 3:1 | Moderately elongated blimp shape |
| 4:1 | Long, slender envelope |
| 5:1 or higher | Very slender airship-style shape |
Example Calculations
Example 1: Calculate blimp volume
Suppose a blimp has a length of 40 m and a maximum diameter of 10 m.
V = (pi/6)*40*10^2
V = 2094.3951 m^3
The estimated blimp volume is 2,094.3951 m³.
Example 2: Calculate blimp diameter
Suppose a blimp volume is 1,500 m³ and its length is 30 m.
D = sqrt((6*1500)/(pi*30))
D = 9.7721 m
The required maximum diameter is 9.7721 m.
FAQ
What shape does this blimp volume calculator assume?
It assumes the blimp is shaped like a prolate spheroid, which is similar to an ellipsoid stretched along its length. This is a common simplified model for estimating envelope volume. Real blimps may have fins, nose shape variations, tail taper, or other design details that make the actual volume slightly different.
Why do I only enter length and diameter?
The formula assumes the blimp is symmetric around its long axis, so one maximum diameter represents both cross-section dimensions. If the envelope is not circular in cross-section, this simplified formula will be less accurate.
Can this volume be used to estimate lifting capacity?
Yes, but only as a starting point. Lift depends on the gas used, outside air density, temperature, pressure, envelope weight, payload, and other equipment. The calculator gives the internal volume, not the final usable lift.