Calcolatore del Volume del Cono — Formula
## How to Calculate the Volume of a Cone
### Formula
**V = (1/3) × π × r² × h**
A cone has exactly 1/3 the volume of a cylinder with the same base and height.
Where:
- **V** = Volume
- **π** ≈ 3.14159
- **r** = radius of the base
- **h** = height
### Slant Height
**l = √(r² + h²)**
### Surface Area
- **Lateral area** = πrl (the curved surface)
- **Total area** = πrl + πr² (curved surface + base)
### Formula
**V = (1/3) × π × r² × h**
A cone has exactly 1/3 the volume of a cylinder with the same base and height.
Where:
- **V** = Volume
- **π** ≈ 3.14159
- **r** = radius of the base
- **h** = height
### Slant Height
**l = √(r² + h²)**
### Surface Area
- **Lateral area** = πrl (the curved surface)
- **Total area** = πrl + πr² (curved surface + base)
Esempio Risolto
Find the volume of a cone with radius 3 and height 8.
- V = (1/3) × π × 3² × 8
- = (1/3) × π × 9 × 8
- = (1/3) × 72π
- = 24π
- ≈ 75.3982
- Slant height = √(9 + 64) = √73 ≈ 8.5440