Density of a Sphere Calculator

To find the density of a sphere, divide its mass ( $m$ ) by its volume, which is calculated using the formula for the volume of a sphere ( $\frac{4}{3} \pi r^3$ ).

The Density of a Sphere Calculator computes the density of a spherical object by using its mass and radius. Density is a fundamental property that measures how much mass is packed into a given volume.

It’s used in physics, engineering, and material science to understand the behavior of substances. This calculator is particularly useful for determining the density of uniform spherical objects, such as planets, balls, or material samples.

Formula:

Contents

1 Formula:
2 Variables:
3 Solved Calculations:
4 What is the Density of a Sphere Calculator?

D = m / ( $\frac{4}{3} \pi r^3$ )

Variables:

Variable	Description	Unit
D	Density of the sphere	kg/m³ or g/cm³
m	Mass of the sphere	kg or g
r	Radius of the sphere	meters (m) or cm
π	Pi (constant) ≈ 3.14159	—

Solved Calculations:

Example 1: Calculate the Density of a Sphere with Mass 12 g and Radius 2 cm

Step	Value	Explanation
Mass ( $m$ )	12 g	Given mass of the sphere
Radius ( $r$ )	2 cm	Given radius of the sphere
Volume of sphere ( $V$ )	$\frac{4}{3} \pi (2^3)$ = $\frac{4}{3} ∗ 3.14159 ∗ 8$ = 33.51 cm³	Calculate the volume of the sphere
Density ( $D$ )	$12 / 33.51 = 0.358 g/cm³$	Divide mass by volume
Result	0.358 g/cm³	Density of the sphere

Example 2: Calculate the Density of a Sphere with Mass 6 kg and Radius 0.3 m

Step	Value	Explanation
Mass ( $m$ )	6 kg	Given mass of the sphere
Radius ( $r$ )	0.3 m	Given radius of the sphere
Volume of sphere ( $V$ )	$\frac{4}{3} \pi (0.3^3)$ = $\frac{4}{3} ∗ 3.14159 ∗ 0.027$ = 0.113 m³	Calculate the volume of the sphere
Density ( $D$ )	$6 / 0.113 = 53.1 kg/m³$	Divide mass by volume
Result	53.1 kg/m³	Density of the sphere

What is the Density of a Sphere Calculator?

The Density of a Sphere Calculator is an essential tool. It is used for determining the density of a sphere by using its mass and size. Density is a key property in physics and material science, and this calculator simplifies its calculation, making it particularly useful for researchers, engineers, and students.