A cone is a three-dimensional geometric shape that occupies space. The volume of a cone represents the amount of space it encloses. It can be determined by multiplying the area of the base of the cone by its height and dividing the result by three. The base of a cone is circular, and its area can be calculated using the formula πr², where π (pi) is an approximately 3.14159 and r represents the radius of the base.
To calculate the volume of a cone, we follow a specific formula: V = (πr²h) / 3. Here, V represents the volume, r denotes the radius of the base, and h represents the height of the cone.
Allow me to provide an example to help illustrate this concept. Consider a cone with a base radius of 5 units and a height of 8 units. By substituting these values into the formula, we can determine the volume as follows:
V = (π(5)²(8)) / 3
= (3.14159 × 5² × 8) / 3
= (3.14159 × 25 × 8) / 3
= 209.43952 cubic units
Hence, the volume of this particular cone is approximately 209.43952 cubic units.