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Sphere Density from Mass and Diameter — result sheet
Calculate the volume, average density, weight, and specific gravity of an ideal sphere from mass and diameter.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Sphere volume = πd³/6; average density = mass ÷ volume; weight = mass × g; specific gravity = density ÷ reference density.
A sphere's diameter determines its volume, while a measured mass determines its average density. This page reports the geometry and material-density arithmetic separately so the result is easy to audit.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Sphere mass — kg; minimum 1.0E-6; maximum 1000000000
- Sphere diameter — m; minimum 1.0E-6; maximum 1000000
- Gravitational acceleration — m/s²; minimum 1.0E-6; maximum 100
- Reference density — kg/m³; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Sphere mass | 2 |
| Sphere diameter | 0.1 |
| Gravitational acceleration | 9.80665 |
| Reference density | 1000 |
The sphere volume is about 0.000523599 m³, average density is about 3,819.72 kg/m³, weight is 19.6133 N, and specific gravity is 3.81972.
Assumptions and limits
- The object is an ideal sphere with the entered external diameter.
- Mass and diameter describe the same object and use compatible SI units.
- Average density is treated as mass divided by external volume.
- The reference density is a supplied comparison basis, not a material lookup.
- Weight uses the entered local gravitational acceleration and is not the same quantity as mass.
- Hollow walls, pores, coatings, flattening, uncertainty, and material identification are outside the model.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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