Math
Cylinder Volume Calculator
Calculate cylinder volume, lateral area, and filled volume.
Inputs
Adjust the assumptions to match your scenario. Results update instantly.
Results
Primary outputs and comparison insights are built from the current inputs.
Full volume
502.65
Total internal volume of the cylinder.
Lateral area
251.33
Curved outer surface area of the cylinder.
Filled volume
376.99
Amount of volume occupied at the selected fill percentage.
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How this calculator works
The Cylinder Volume Calculator helps you estimate full volume, curved surface area, and filled volume for tanks, pipes, and packaging geometry. Enter radius, height, and fill percent to estimate full volume, lateral area, and filled volume. The calculator updates instantly and adds a comparison table plus chart so you can test the sensitivity of the result before you use it in a decision.
Quick guide
Jump straight to the section you need, then return to the calculator.
Inputs
- Radius of the circular base of the cylinder.
- Height of the cylinder from base to top.
- Percentage of the cylinder volume that is filled.
Outputs
- Total internal volume of the cylinder.
- Curved outer surface area of the cylinder.
- Amount of volume occupied at the selected fill percentage.
Assumptions
- The cylinder has a perfect circular base and uniform height.
- Fill percent is modeled as a direct share of the total volume.
Tips
- Keep all dimensions in the same unit before multiplying.
- If you need total surface area, add the two circular ends separately.
Formula guide
Use these formulas to audit the output or explain it to someone else.
2 formulas
Usage examples
Review a ready-made scenario, copy it, then tweak inputs to match your case.
Example
Tank fill estimate
Inputs
- Example input Radius: 3.5
- Example input Height: 12
- Example input Fill percent: 60%
Outputs
- Example result Full volume: 461.81
- Example result Lateral area: 263.89
- Example result Filled volume: 277.09
Volume formulas are straightforward, but practical tank planning still needs the right unit conversions and fill limits.
Cylinder volume by height
| Height | Full volume | Filled volume |
|---|---|---|
| 6 | 301.59 | 226.19 |
| 8 | 402.12 | 301.59 |
| 10 | 502.65 | 376.99 |
| 12 | 603.19 | 452.39 |
| 14 | 703.72 | 527.79 |
With radius fixed, volume grows linearly with height, which makes height sensitivity easy to inspect in the scenario view.
Volume growth by height
Focus point
6
301.59
Position
#1 of 5
Original order
Share of total
12%
Total: 2,513.27
With radius fixed, volume grows linearly with height, which makes height sensitivity easy to inspect in the scenario view.
References
- Cylinder geometry formulas
- Volume calculations for tanks and containers
FAQ
Common questions
What does the Cylinder Volume Calculator do?
The Cylinder Volume Calculator helps you estimate full volume, curved surface area, and filled volume for tanks, pipes, and packaging geometry. Enter radius, height, and fill percent to estimate full volume, lateral area, and filled volume. The calculator updates instantly and adds a comparison table plus chart so you can test the sensitivity of the result before you use it in a decision. It is part of our math toolkit.
What inputs do I need?
Typical inputs include Radius of the circular base of the cylinder., Height of the cylinder from base to top., Percentage of the cylinder volume that is filled..
How are the results calculated?
We follow the formulas and assumptions outlined in the "How this calculator works" section. You will see outputs like Total internal volume of the cylinder., Curved outer surface area of the cylinder., Amount of volume occupied at the selected fill percentage..
Can I share or download the results?
Use the Copy link or Print buttons to share your results. If a table or chart appears, you can download the data as CSV.
Is my data stored?
No. Calculations run in your browser and we do not store your inputs.
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