Density of Sphere Calculator, Formula, Density of Sphere Calculation

Density of Sphere Calculator:

Enter the values of mass, m_(kg) and radius, r_(m) to determine the value of Density of sphere, D_(kg/m3).

Density of Sphere Formula:

Density signifies the mass of an object per unit volume, typically measured in kilograms per cubic meter. For a sphere, it reflects how much mass is packed into the spherical volume.

A heavier sphere (more mass) will have a higher density (D) if its radius (r) stays the same. Think of a solid steel ball compared to a hollow plastic ball of the same size.

A sphere with a smaller radius (r) will have a smaller volume, even if its mass (m) stays the same. This leads to a higher density (D) because the same amount of mass is packed into a smaller space.

In a solid sphere, more mass packed into a smaller volume (higher density) indicates a denser and potentially stronger material.

The material’s volume acts like a container, confining the mass. A smaller volume makes it harder to fit the same mass, resulting in higher density.

Density of sphere, D_(kg/m3) in kilograms per cubic metre is calculated by dividing the mass, m_(kg) in kilograms by the volume of the sphere.

Volume of the sphere = (4/3) * pi * r³_(m)

Density of sphere, D_(kg/m3) = m_(kg) / (4/3) * pi * r³_(m)

D_(kg/m3) = density of sphere in kilograms per cubic metres, kg/m³.

m_(kg) = mass in kilogram, kg.

r_(m) = radius in metres, m.

Density of Sphere Calculation:

1. Find density of sphere:

Given: m_(kg) = 500kg, r_(m) = 0.5m.

Density of sphere, D_(kg/m3) = m_(kg) / (4/3) * pi * r³_(m)

D_(kg/m3) = 500 / (4/3) * 3.14 * 0.5³

D_(kg/m3) = 500 / 0.5236

D_(kg/m3) = 954kg/m³.

2. Find mass:

Given: D_(kg/m3) = 800kg/m³, r_(m) = 0.3m.

Density of sphere, D_(kg/m3) = m_(kg) / (4/3) * pi * r³_(m)

m_(kg) = D_(kg/m3) * 4/3) * pi * r³_(m)

m_(kg) = 800 * (4/3) * 3.14 * 0.3³

m_(kg) = 800 * 0.1131

m_(kg) = 90.48kg.

Density of sphere calculated from diameter and mass.