Kostenloser Rechner für Kegelvolumen und Oberfläche
Berechne Volumen und Oberfläche eines Kegels anhand von Radius und Höhe.
Volumen
150.7964
Lateral Sa123.7644
Total Sa174.0299
Slant Height9.8489
Formel
## Cone Formulas ### Volume **V = (1/3) × pi × r² × h** ### Slant Height **l = sqrt(r² + h²)** ### Surface Area - **Lateral area** = pi × r × l - **Total area** = pi × r × l + pi × r² = pi × r × (l + r)
Lösungsbeispiel
Cone with radius 4 and height 9.
- 01Slant = √(16+81) = √97 ≈ 9.8489
- 02Volume = (1/3)×pi×16×9 = 48pi ≈ 150.7964
- 03Lateral SA = pi×4×9.8489 ≈ 123.7168
- 04Total SA = 123.7168 + pi×16 ≈ 173.9460
Häufig Gestellte Fragen
How is a cone related to a cylinder?
A cone with the same base and height as a cylinder has exactly 1/3 the volume of that cylinder.
What is the slant height?
The slant height is the distance from the apex (tip) to any point on the base circle, measured along the surface. It is found using the Pythagorean theorem.
What is a truncated cone (frustum)?
A frustum is a cone with the top cut off by a plane parallel to the base. Its volume requires both radii and the height.
Lernen