Volume of a sphere of radius r equals:

The volume of a sphere measures the amount of three-dimensional space enclosed by its surface. For a sphere with radius $r$, the formula for volume $V$ is derived from integral calculus or Archimedes' principle, resulting in: $$V = \frac{4}{3} \pi r^3$$ Key components of the formula: - $\pi$ (pi) is approximately $3.14159$. - $r^3$ (radius cubed) ensures the result is in cubic units (e.g., $cm^3$, $m^3$), which is necessary for volume. - The coefficient $\frac{4}{3}$ is specific to the geometry of a sphere.