Kostenloser Kegelvolumenrechner
Berechne das Volumen eines Kegels anhand von Radius und Höhe. Verwende die Formel V = 1/3 × π × r² × h.
Volumen
75.3982
Lateral Area80.5253
Total Surface Area108.7997
Slant8.5440
Base Area28.2743
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:
Slant Height
l = √(r² + h²)
Surface Area
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).
Lernen