Volume Calculator Guide: Formula & Worked Example
Short answer
Volume of cubes, boxes, spheres, cylinders and cones. In the fixed example below, volume is 141.371669. Your answer depends on the inputs and assumptions you choose.
Formula
Result = Volume Calculator calculation using shape, side / radius / length, height, width (box only)
The inputs are shape, side / radius / length, height, width (box only). Use the input scale shown beside each field and keep time periods and units consistent. Only round the final result for display.
Worked example
- Shape
- cyl
- Side / radius / length
- 3
- Height
- 5
- Width (box only)
- 2
- Volume: 141.371669
- Surface area: 150.796447
Understanding the result
Volume of cubes, boxes, spheres, cylinders and cones. Start with the base example, then replace each value with the figure that matches your situation.
Shape
The example uses Cylinder (radius, height) for shape. This is an illustration, not a recommended value. Keep the unit and time period shown by the field.
Side / radius / length
The example uses 3 for side / radius / length. This is an illustration, not a recommended value. Keep the unit and time period shown by the field.
Height
The example uses 5 for height. This is an illustration, not a recommended value. Keep the unit and time period shown by the field.
Width (box only)
The example uses 2 for width (box only). This is an illustration, not a recommended value. Keep the unit and time period shown by the field.
What the comparison means
The comparison changes only side / radius / length, keeping every other example input fixed. This isolates that input's effect on the primary result. It does not predict future outcomes.
Check units, date boundaries and rounding before using the answer in a report or a practical measurement.
Comparison
| Scenario | Input | Result |
|---|---|---|
| Lower input | Side / radius / length: 2.4 | Volume: 90.477868 |
| Base example | Side / radius / length: 3 | Volume: 141.371669 |
| Higher input | Side / radius / length: 3.6 | Volume: 203.575204 |
Common mistakes
- Using the wrong units for side / radius / length.
- Comparing results while changing more than one input at a time.
- Check units, date boundaries and rounding before using the answer in a report or a practical measurement.
Checklist
- Confirm shape.
- Confirm side / radius / length.
- Confirm height.
- Confirm width (box only).
- Check the result against your source or provider.
Calculators Percentage Editorial Team
Calculator guides from the Calculators Percentage team. These introductory examples are educational, not professional advice.
Last reviewed:
Check units, date boundaries and rounding before using the answer in a report or a practical measurement.