Estimate Usable Volume in a Straight-Sided Cooking Pot — Free
A pot’s outside dimensions do not tell you how much liquid its straight-sided interior holds below your chosen fill line. Use inner diameter and usable depth to estimate volume before transferring a batch.
The proof surface
Recipe scaling by pan area changes ingredient mass for a round baking tin. This estimates liquid volume in a cylindrical, straight-sided pot; it does not scale a recipe or model a tapered vessel.
Why the flat version breaks
Using outside diameter
Wall thickness overstates the interior area; measure inside the pot.
Filling to the rim in the model
Usable depth should stop at your chosen line, not at the rolled lip.
Applying a cylinder to a tapered pot
The formula assumes vertical sides. A conical or curved vessel needs its own geometry or a measured fill test.
How to work the pot-volume gauge
Take the internal diameter across the pot and the depth to the fill line you selected. The model assumes a circular cross-section that stays the same from bottom to top.
Volume in litres = π × (diameter ÷ 2)² × depth ÷ 1000, with all three dimensions in centimetres. A 30 cm diameter and 18 cm depth is about 12.72 litres.
A row flags if its estimated volume is below your entered target. Choose a fill level that leaves the headroom appropriate to your own process.
Handles, rounded bases, taper, inserts and safe working headroom are outside this geometric estimate. Never use a volume result as a boiling or pressure-cooking instruction.
What the pot-volume gauge replaces
| Question | Before | Visible working |
|---|---|---|
| Using outside diameter | Wall thickness overstates the interior area; measure inside the pot. | Use the cylinder formula |
| Filling to the rim in the model | Usable depth should stop at your chosen line, not at the rolled lip. | Compare against the batch you intend to hold |
| Applying a cylinder to a tapered pot | The formula assumes vertical sides. A conical or curved vessel needs its own geometry or a measured fill test. | Check the vessel in person before heating |
A local arithmetic aid replaces hand calculation, not expert review. No paid AI service is needed.
Run it on the samples, right here
FIRST-LOAD
Input is processed locally and a draft is saved automatically in this browser profile when storage is available. Reset to sample clears that draft; Pro history has its own clear button. A state link encodes your inputs in its URL: share only non-sensitive rows. Browser history, clipboard and anyone receiving the link may retain it. Optional AI use below leaves this device; it is not required.
Geometric volume estimate only. It is not a food-safety, pressure-vessel, boil-over or cooking-time recommendation. Follow the appliance and recipe instructions and leave suitable headroom; ask the manufacturer or a qualified professional about unusual vessels.
Data note: Everything runs in this browser tab on the pot-volume gauge: your pot | inner diameter cm | usable fill depth cm stays on this device, nothing is uploaded, and the reading is rebuilt only when you press run.
Go deeper: the companion app files the same reading as a meter band gauge
The article demo above runs without limits. The companion app keeps a local history, exports the rows as CSV, prints the pot-volume gauge reading, and holds your drafts on this device — one free run, then $ 4 one-time for the layer that keeps filing.
The pot-volume gauge reading is complete for free. The optional $4 layer adds print, row CSV and the last five local reading summaries; it does not add hidden answers. Checkout is not configured yet; the article demo remains unlimited.
Open the estimate usable volume in a straight-sided cooking pot companionBoundary
Geometric volume estimate only. It is not a food-safety, pressure-vessel, boil-over or cooking-time recommendation. Follow the appliance and recipe instructions and leave suitable headroom; ask the manufacturer or a qualified professional about unusual vessels.
What this is built on
- Method: the equation is stated next to the result and uses only quantities entered by the reader.
- All sample records are invented examples. No standard, tariff, product rate, schedule or policy is fetched or represented as verified.
- For any threshold or rule, use the current value from the provider, handbook or qualified professional responsible for it.
Before: Wall thickness overstates the interior area; measure inside the pot. After: the pot-volume gauge shows the working beside each named row so the reader can change the assumption and inspect the consequence.
Optional AI formatting, not calculation
For this pot-volume gauge, an external AI text tool may help format non-sensitive notes if you already use one. No AI service or account is required: manual entry completes the same free core calculation. Do not paste private or sensitive data. Review every value against the source before using it.
Format my non-sensitive notes for a pot-volume gauge. Return plain rows only: pot | inner diameter cm | usable fill depth cm. Preserve supplied quantities exactly. Do not guess missing values; list questions separately. Do not calculate or add advice. I will check every row before pasting into the local tool.
Accepted schema: pot | inner diameter cm | usable fill depth cm. No AI response is executed as code.
Walk three labelled examples
First reading. The invented sample Stockpot A | 30 | 18 uses target batch volume in litres = 10. The displayed smallest estimated pot volume is 12.72345 litres. Follow the row note back to the measurements and conversion rather than treating the headline number as a recommendation. The sample is deliberately concrete so the reader can reproduce the arithmetic by hand.
Changed assumption. The alternate input Sauce pot | 24 | 15 produces 6.78584 litres for the displayed summary. Compare it with the first reading to see which entered quantity moves the result. In a real plan, change only the assumption that has a traceable source; do not tune a value just to make a row pass.
Boundary case. With Measured batch pot | 20 | 15 and the same setting, the worked result is 4.71239 litres. This case shows how the arithmetic behaves at a useful edge, not that the underlying process has been measured or verified. Check the boundary statement beside the result and confirm any consequential input with the responsible person before acting.