A sphere is a geometric shape that exists in three dimensions, known for its inherent symmetry and the property that every point on its surface is equidistant from its center. The volume of a sphere represents the amount of space enclosed within its surface. It can be calculated using a specific formula.
To determine the volume of a sphere, we make use of the formula V = (4/3)πr³, where V represents the volume and r denotes the radius of the sphere. In this formula, π (pi) is a mathematical constant approximately equal to 3.14159.
By substituting the radius of the sphere into the formula, we can calculate its volume. For example, let’s consider a sphere with a radius of 5 units:
V = (4/3)π(5)³
= (4/3) × 3.14159 × 5³
= (4/3) × 3.14159 × 125
= 523.59878 cubic units
Hence, the volume of the sphere with a radius of 5 units is approximately 523.59878 cubic units.