Examples
Examples
Try the starting example
- Circular bin internal diameter (m)
- 4
- Filled cylindrical height (m)
- 3
- Additional conical grain peak height (m)
- 1
- Measured bulk density (kg/m³)
- 700
- Cylindrical filled volume (m³)
- 37.699112
- Conical grain peak volume (m³)
- 4.18879
- Total geometric grain volume (m³)
- 41.887902
- Estimated stored mass (kg)
- 29,321.531434
Try another scenario
- Circular bin internal diameter (m)
- 2
- Filled cylindrical height (m)
- 2
- Additional conical grain peak height (m)
- 0
- Measured bulk density (kg/m³)
- 500
- Cylindrical filled volume (m³)
- 6.283185
- Conical grain peak volume (m³)
- 0
- Total geometric grain volume (m³)
- 6.283185
- Estimated stored mass (kg)
- 3,141.592654
Calculation method
Calculation method
Cylindrical filled volume (m³)
π × (diameter/2)² × filled cylinder height.
Conical grain peak volume (m³)
π × (diameter/2)² × grain peak height / 3.
Total geometric grain volume (m³)
Sum cylinder and grain peak volumes.
Estimated stored mass (kg)
Total volume × measured bulk density.
Symbols and units
- a
- Circular bin internal diameter (m)
- b
- Filled cylindrical height (m)
- c
- Additional conical grain peak height (m)
- d
- Measured bulk density (kg/m³)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Ideal upright cylinder with an optional conical GRAIN peak, not the empty roof space. Excludes aeration ducts, hoppers, compaction and grain bridging. Density is supplied from measurement; structural capacity is not assessed.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
OpenStax: arithmetic and geometry ↗
Background reading; this does not imply endorsement or independent review of SumFizz.