THE NUMBERS, EXPLAINED
How to use this calculator.
Area-only estimate for round tiers of equal relevant height. Real cutting patterns, supports, tier height and unusable centre portions can reduce yield.
Start with your inputs
Enter round tier diameters (cm), serving width (cm), serving depth (cm), cutting loss allowance (%). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Round tier diameters (cm) | 30,20,10 |
| Serving width (cm) | 2.5 |
| Serving depth (cm) | 5 |
| Cutting loss allowance (%) | 10 |
A worked example
With the example inputs above, estimated portions by tier is 50, 22, 5. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Estimated portions by tier | 50, 22, 5 |
| Total estimated portions | 77 |
How this is calculated
Estimated portions by tier
For each tier, round down π × (diameter/2)² × (1−loss percentage/100) ÷ serving footprint.
Total estimated portions
Add whole portions across tiers.
Symbols and units
- a
- Round tier diameters (cm)
- b
- Serving width (cm)
- c
- Serving depth (cm)
- d
- Cutting loss allowance (%)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions and limits
Area-only estimate for round tiers of equal relevant height. Real cutting patterns, supports, tier height and unusable centre portions can reduce yield.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Estimated portions by tier; Total estimated portions. The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Area-only estimate for round tiers of equal relevant height. Real cutting patterns, supports, tier height and unusable centre portions can reduce yield.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
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