Volume (V) = πr²l
Where:
* V is the volume of the wire
* π is a mathematical constant, approximately equal to 3.14159
* r is the radius of the wire (half of its diameter)
* l is the length of the wire
Derivation:
A wire can be visualized as a cylinder. The volume of a cylinder is given by:
* Volume = Area of the base × Height
The base of the wire is a circle with area πr², and the height of the wire is its length (l). Therefore:
* Volume = πr² × l
* V = πr²l
Example:
Let's say you have a wire with a radius of 1 mm (0.001 m) and a length of 10 cm (0.1 m). To find the volume:
* V = π × (0.001 m)² × 0.1 m
* V ≈ 3.14159 × 0.000001 m³ × 0.1 m
* V ≈ 3.14159 × 10⁻⁷ m³
Therefore, the volume of the wire is approximately 3.14159 × 10⁻⁷ cubic meters.
