__Density of Sphere Calculator:__

__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 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 * r^{3}_{(m)}

Density of sphere, D_{(kg/m3)} = m_{(kg)} / (4/3) * pi * r^{3}_{(m)}

D_{(kg/m3)} = density of sphere in kilograms per cubic metres, kg/m^{3}.

m_{(kg)} = mass in kilogram, kg.

r_{(m)} = radius in metres, m.

__Density of Sphere Calculation:__

__Density of Sphere Calculation:__

- Find density of sphere:

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

Density of sphere, D_{(kg/m3)} = m_{(kg)} / (4/3) * pi * r^{3}_{(m)}

D_{(kg/m3)} = 500 / (4/3) * 3.14 * 0.5^{3}

D_{(kg/m3)} = 500 / 0.5236

D_{(kg/m3)} = 954kg/m^{3}.

- Find mass:

Given: D_{(kg/m3)} = 800kg/m^{3}, r_{(m)} = 0.3m.

Density of sphere, D_{(kg/m3)} = m_{(kg)} / (4/3) * pi * r^{3}_{(m)}

m_{(kg)} = D_{(kg/m3)} * 4/3) * pi * r^{3}_{(m)}

m_{(kg)} = 800 * (4/3) * 3.14 * 0.3^{3}

m_{(kg)} = 800 * 0.1131

m_{(kg)} = 90.48kg.