Round Pot Volume Liter Calculator

Integrate actual tapered circular pot interior and caller headspace under straight-wall frustum geometry; not cylinder area alias, labeled nursery gallon, drainage displacement or media settling.

Description

Straight tapered circular pot walls define a frustum.

Straight tapered circular pot walls define a frustum. Headspace changes both fill height and radius at the fill surface.^[1]

Enter positive interior top/bottom diameters/height in cm and headspace0–height. Return filled and full interior liters.

When to use Round Pot Volume Liter Calculator

Use Round Pot Volume Liter Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. Full-height headspace gives zero fill. No nursery-gallon label, drainage, curved-wall or media-settling correction is applied.

Prepare measured container, labor, environmental or inventory records and independently verified stage limits requested. Keep units, temperature conditions and dates consistent.

How to use Round Pot Volume Liter Calculator and understand its results

Prepare measured container, labor, environmental or inventory records and independently verified stage limits requested. Keep units, temperature conditions and dates consistent.
Enter interiorTopPotDiameterCm, interiorBottomPotDiameterCm, interiorPotHeightCm, callerUnfilledHeadspaceCm using the field table and calculation rules, then run the tool.
Read modeledFilledPotLiters, modeledTotalInteriorPotLiters. The explanation below defines the units, signs, ordering and any flags or placeholder values.
If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.

Input field	Meaning	Value type; see rules below	Requirement
interiorTopPotDiameterCm	Interior top pot diameter cm	number	Required
interiorBottomPotDiameterCm	Interior bottom pot diameter cm	number	Required
interiorPotHeightCm	Interior pot height cm	number	Required
callerUnfilledHeadspaceCm	Caller unfilled headspace cm	number	Required

Enter positive interior top/bottom diameters/height in cm and headspace0–height. Return filled and full interior liters.

fillRadius=bottomRadius+(top−bottom)×fillHeight/height; liters=πfillHeight(rb²+rb×rf+rf²)/3000

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output field	Meaning	Value type
modeledFilledPotLiters	Modeled filled pot liters	number
modeledTotalInteriorPotLiters	Modeled total interior pot liters	number

json

{
  "input": {
    "interiorTopPotDiameterCm": 20,
    "interiorBottomPotDiameterCm": 10,
    "interiorPotHeightCm": 15,
    "callerUnfilledHeadspaceCm": 3
  },
  "output": {
    "modeledFilledPotLiters": 1.897521962768235,
    "modeledTotalInteriorPotLiters": 2.748893571891069
  }
}

Limitations and assumptions

Full-height headspace gives zero fill. No nursery-gallon label, drainage, curved-wall or media-settling correction is applied.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Square Pot Volume Liter Calculator: A rectangular pot with straight tapered walls has an area that changes with height. Independently tapering width and length require integrating their product. For a complementary task, use Repot Soil Volume Increase Calculator: New-media demand excludes existing rootball displacement and includes an explicit extra allowance. Inventory margin can remain negative.

References

Round Pot Volume Liter Calculator — tool.io

Similar or alternative tools

Square Pot Volume Liter Calculator
A rectangular pot with straight tapered walls has an area that changes with height. Independently tapering width and length require integrating their product.
Repot Soil Volume Increase Calculator
New-media demand excludes existing rootball displacement and includes an explicit extra allowance. Inventory margin can remain negative.