Free · Physics models
Mass Density of a Uniform Sphere
Find sphere volume, radius and bulk density from mass and geometry.
- Formula & worked example
- Private in your browser
- No signup
Calculator inputs
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How to use this calculator
- Enter the known values in the units shown. Results update as you type.
- Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
- Use the worked example to check the method. Reset restores the starting fields.
Private by default
Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.
Formula and method
Volume = 4.1887902; Density = 2.3873241. The worked example lists its inputs and unit conventions.
ρ = m/V; V = 4πr³/3.
Worked example
Enter these known values and leave the other values blank.
- Weight/mass
- 10 kg
- Radius
- 1 m
- Volume
- 4.189 m³
- Density
- 2.3873 kg/m³
Assumptions and limitations
- A uniform solid sphere is assumed. The mass control is mass in kilograms, not force in newtons. Hollow spheres need their material volume and are outside this geometry.
- Clear the unknown quantity to solve a supported inverse. Keep known quantities fixed with locks. A zero multiplier can make an inverse underdetermined.
Common questions
What assumptions apply?
A uniform solid sphere is assumed. The mass control is mass in kilograms, not force in newtons. Hollow spheres need their material volume and are outside this geometry.
How do inverse controls work?
Clear the unknown and enter enough independent known values. Locks retain known quantities; singular or impossible inverses may remain incomplete.
References
A uniform solid sphere is assumed. The mass control is mass in kilograms, not force in newtons. Hollow spheres need their material volume and are outside this geometry.