Physics
Instant, private, and free
Sphere Density Calculator.
Calculate sphere density from mass and radius.
Set your values
Results update as you type.
Results update automatically as you type.
Use Cases
Material Identification
Determine the density of a spherical object to help identify the material it's made of, by comparing the result with known densities.
Example: A steel ball bearing with mass 0.1 kg and radius 0.02 m gives a density around 7800 kg/m³.
Physics Homework and Experiments
Quickly compute density for lab experiments or physics problems involving spherical objects, saving time and reducing calculation errors.
Example: Calculate the density of a sphere with mass 2 kg and radius 0.1 m.
Frequently Asked Questions
- How do I calculate the density of a sphere?
- Enter the mass in kilograms and the radius in meters. The calculator computes the sphere's volume using the formula V = (4/3)πr³, then divides mass by volume to get density in kg/m³.
- What units does the Sphere Density Calculator use?
- The calculator uses kilograms (kg) for mass and meters (m) for radius. The resulting density is expressed in kilograms per cubic meter (kg/m³).
- Can I use this calculator for any sphere?
- Yes, as long as you know the mass and radius of the sphere. It works for solid spheres of any material, from tiny ball bearings to large planets, as long as the density is uniform.
Tips & Common Mistakes
Tips
- Ensure mass is in kilograms and radius in meters to get density in kg/m³. Convert if necessary.
- Double-check the radius: it's the distance from the center to the surface, not the diameter.
- For hollow spheres, this calculator assumes a solid sphere. Use a different method if the sphere is hollow.
- Use the result to compare with known material densities to identify the substance.
Common Mistakes to Avoid
- Using diameter instead of radius in the calculation, which leads to an incorrect volume and density.
- Forgetting to convert units (e.g., using grams instead of kilograms) results in a density that is off by a factor of 1000.
- Assuming the sphere is solid when it might be hollow, which would give a lower density than actual material density.
Last updated: August 13, 2026