Description
Return cavity and wall fractions for a spherical shell.
Anatomical diagrams and idealized models require explicit coordinate origins, axes, dimensions and indexing conventions. Translations, vector projections and simple shape formulas describe supplied geometry rather than identifying actual anatomy or determining a medical finding. A scaled drawing or ideal branching tree needs separate anatomical verification.
Return cavity and wall fractions for a spherical shell.
When to use this tool
Use Anatomical Cavity Shell Relative Volume Term when checking the stated diagram, coordinate, vector or ideal-shape convention.
How to use the tool and how it works
- Enter outerRadius, wallThickness. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read innerRadius, cavityFraction, wallFraction. Use the output convention below.
Return cavity and wall fractions for a spherical shell. Require outerRadius > 0 and wallThickness within it; inner = outer-thickness, cavityFraction = (inner/outer)^3, wallFraction = 1-cavity.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| outerRadius | Outer Radius | Required. Finite number; strictly above 0. |
| wallThickness | Wall Thickness | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| innerRadius | Inner Radius | Required. Finite number. |
| cavityFraction | Inner spherical volume/outer spherical volume; distinct from a cylindrical shell fraction. | Required. Finite number. |
| wallFraction | Wall Fraction | Required. Finite number. |
{
"input": {
"outerRadius": 10,
"wallThickness": 2
},
"output": {
"innerRadius": 8,
"cavityFraction": 0.5120000000000001,
"wallFraction": 0.4879999999999999
}
}Limitations and assumptions
- This assumes a concentric spherical geometry; no tissue, organ volume, strength or clinical condition is measured.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use verified anatomical measurements and an appropriate complete spatial model; consult qualified health professionals for actual medical interpretation.
References
Similar or alternative tools
- Organ Cavity Wall Volume Term
Return ideal cylindrical organ-wall and cavity volumes.
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Return circular bone cross-section area fractions.