Kostenloser Kegelvolumenrechner
Berechne das Volumen eines Kegels anhand von Radius und Höhe. Verwende die Formel V = 1/3 × π × r² × h.
Volumen
75.3982
Formel
## 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)
Lösungsbeispiel
Find the volume of a cone with radius 3 and height 8.
- 01V = (1/3) × π × 3² × 8
- 02= (1/3) × π × 9 × 8
- 03= (1/3) × 72π
- 04= 24π
- 05≈ 75.3982
- 06Slant height = √(9 + 64) = √73 ≈ 8.5440
Häufig Gestellte Fragen
How do you find the volume of a cone?
Use V = (1/3)πr²h. It is exactly one-third of the volume of a cylinder with the same radius and height.
What is slant height?
Slant height is the distance from the tip (apex) of the cone to any point on the edge of the circular base, measured along the surface. It is calculated as l = √(r² + h²).
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