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Cylinder
Calculate cylinder volume and surface area, or solve a missing radius, diameter, or height from volume.
Calculators / Cooking / Round cake portion volume
Round cake portion volume calculator
Estimate how many equal-volume portions fit in an ideal cylindrical cake.
On this page
Ideal cake volume3,619.11cm³
Whole theoretical portions24
Volume remaining19.11cm³
Calculator controls
How to calculate
Estimate how many equal-volume portions fit in an ideal cylindrical cake.
Ideal cake volume =
pi*(diameter/2)^2*height cm³Whole theoretical portions =
floor(pi*(diameter/2)^2*height/portion)Volume remaining =
pi*(diameter/2)^2*height-floor(pi*(diameter/2)^2*height/portion)*portion cm³Worked example
- Cake diameter (cm): 24
- Cake height (cm): 8
- Chosen portion volume (cm³): 150
- Ideal cake volume: 3,619.11 cm³
- Whole theoretical portions: 24
- Volume remaining: 19.11 cm³
Assumptions and limits
Choose your own portion volume. Domes, fillings, trimming, cutting loss and irregular slices are excluded; this is not a serving-size recommendation.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Estimate how many equal-volume portions fit in an ideal cylindrical cake. Volume scales with the square of diameter and directly with height. The whole-portion result rounds down.
When this tool is useful
Volume scales with the square of diameter and directly with height. The whole-portion result rounds down.
Understanding your inputs
| Input | Example |
|---|---|
Cake diameter (cm) diameter | 24 |
Cake height (cm) height | 8 |
Chosen portion volume (cm³) portion | 150 |
Frequently asked questions
What assumptions should I check?
Choose your own portion volume. Domes, fillings, trimming, cutting loss and irregular slices are excluded; this is not a serving-size recommendation.
How can I check the result?
Start with the labelled example. Keep units consistent, calculate without intermediate rounding and change one input at a time. The diagram explains the model; the result table supplies the numerical answer.