The Density of a Sphere Calculator helps determine the density of a spherical object based on its mass and radius. This calculation is useful in physics, engineering, material science, and real-world applications like planetary studies, fluid mechanics, and material analysis. By using this tool, scientists and students can accurately measure how compact or dense an object is, aiding in further research and analysis.
Formula of Density of a Sphere Calculator
Density is calculated using the following formula:
Density = Mass / [(4/3) × Pi × Radius³]
where:
- Mass is the total mass of the sphere, typically measured in kilograms (kg) or grams (g).
- Volume is the space occupied by the sphere, calculated as (4/3) × Pi × Radius³.
- Radius is the distance from the center to the surface of the sphere, typically measured in meters (m) or centimeters (cm).
- Pi (π) is approximately 3.14159.
This formula helps determine how much matter is packed into a given spherical object, which is essential for various scientific and industrial applications.
Density Reference Table
This table provides estimated densities for common spherical objects, offering a quick reference without the need for manual calculations.
| Material | Approximate Density (kg/m³) |
|---|---|
| Water | 1000 |
| Aluminum | 2700 |
| Steel | 7850 |
| Gold | 19300 |
| Lead | 11340 |
| Glass | 2500 |
| Rubber | 1200 |
These values provide a rough estimation. The actual density of an object may vary slightly depending on composition and impurities.
Example of Density of a Sphere Calculator
A metal sphere has a mass of 5 kg and a radius of 0.1 meters. Using the formula:
Density = 5 / [(4/3) × 3.14159 × (0.1³)]
= 5 / [(4/3) × 3.14159 × 0.001]
= 5 / 0.00418879 ≈ 1194 kg/m³
This result indicates that the sphere has a density of approximately 1194 kg/m³, which is close to the density of rubber. This calculation helps determine the material of the sphere.
Most Common FAQs
Density helps identify materials, understand buoyancy, and determine the composition of objects. It is widely used in physics, engineering, and material science.
Yes, density can change with temperature. When a material expands due to heat, its volume increases, reducing its density. This is why density calculations may need to account for thermal variations.
Density calculations are use in material selection, buoyancy testing, quality control, and even space research. For example, scientists use density to determine the composition of planets and celestial bodies.