
Volume of a Sphere
The volume of a sphere is the amount of space it occupies, like how much water it can hold inside. Mathematically, it is calculated using the sphere's radius (the distance from the center to the surface). The formula is \( V = \frac{4}{3} \pi r^3 \), where \(\pi\) is approximately 3.14159. This means the volume increases rapidly as the radius grows. Essentially, it captures how the size of the sphere's interior expands with its radius, providing a precise way to measure how much space a spherical object contains.