Examples
Examples
Try the starting example
- Round tier diameters (cm)
- 20,10
- Tier heights (cm)
- 10,5
- Measured cake densities (g/cm³)
- 0.5,0.5
- Filling masses by tier (g)
- 80,20
- Estimated cake mass (g)
- 1,767.145868
- Total fillings (g)
- 100
- Estimated assembly mass (g)
- 1,867.145868
Try another scenario
- Round tier diameters (cm)
- 10
- Tier heights (cm)
- 4
- Measured cake densities (g/cm³)
- 1
- Filling masses by tier (g)
- 25
- Estimated cake mass (g)
- 314.159265
- Total fillings (g)
- 25
- Estimated assembly mass (g)
- 339.159265
Calculation method
Calculation method
Estimated cake mass (g)
For each cylindrical tier: π × (diameter/2)² × height × measured density; sum all tiers.
Total fillings (g)
Sum entered filling masses.
Estimated assembly mass (g)
Cake mass + filling masses.
Symbols and units
- a
- Round tier diameters (cm)
- b
- Tier heights (cm)
- c
- Measured cake densities (g/cm³)
- d
- Filling masses by tier (g)
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 cylindrical cake tiers with supplied measured bulk densities. Fillings are added separately. Decorations, boards and supports must be weighed separately. This is not a structural stacking or transport assessment.
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: ratios, percentages and rectangular geometry ↗
Background reading; this does not imply endorsement or independent review of SumFizz.