The formula to calculate the density (D) of a sphere is:
\[ D = \frac{m}{\frac{4}{3}\pi r^3} \]
Where:
The density of a sphere is defined as the total mass per unit of volume of a spherical object. This measure is crucial in various fields such as material science, engineering, and physics to understand the properties of spherical objects.
Let's assume the following values:
Step 1: Calculate the volume of the sphere:
\[ \text{Volume} = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi (2)^3 = \frac{4}{3} \pi (8) = \frac{32}{3} \pi \approx 33.5103 \text{ m}^3 \]
Step 2: Divide the mass by the volume:
\[ D = \frac{10}{33.5103} \approx 0.298 \text{ kg/m}^3 \]
The density (D) is approximately 0.298 kg/m³.