Examples
Examples
Try the starting example
- Round cake diameter (cm)
- 20
- Cake height (cm)
- 10
- Identical cakes
- 1
- Measured frosting per surface area (g/cm²)
- 0.1
- Applied-to-test thickness ratio
- 1
- Reserve (%)
- 10
- Top and side area (cm²)
- 942.477796
- Measured-rate frosting (g)
- 94.24778
- Frosting with reserve (g)
- 103.672558
Try another scenario
- Round cake diameter (cm)
- 10
- Cake height (cm)
- 5
- Identical cakes
- 2
- Measured frosting per surface area (g/cm²)
- 0.2
- Applied-to-test thickness ratio
- 0.5
- Reserve (%)
- 0
- Top and side area (cm²)
- 471.238898
- Measured-rate frosting (g)
- 47.12389
- Frosting with reserve (g)
- 47.12389
Calculation method
Calculation method
Top and side area (cm²)
Cake count × (π × radius² + π × diameter × height); excludes bottoms.
Measured-rate frosting (g)
Surface area × tested mass per area × applied-to-test thickness ratio.
Frosting with reserve (g)
Measured-rate frosting × (1 + reserve/100).
Symbols and units
- a
- Round cake diameter (cm)
- b
- Cake height (cm)
- c
- Identical cakes
- d
- Measured frosting per surface area (g/cm²)
- e
- Applied-to-test thickness ratio
- f
- Reserve (%)
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
- Top plus sides of identical round cakes. Thickness scales linearly from a measured application test; texture and decorative work can change consumption. The base is excluded and reserve is chosen by you.
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.