Calculatrice de Volume de Cône Gratuite

Calculez le volume d'un cône à partir du rayon et de la hauteur. Utilisez la formule 1/3 pi r² h pour le résultat.

Volume

75.3982

Lateral Area80.5253
Total Surface Area108.7997
Slant8.5440
Base Area28.2743

Formule

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)
  • Exemple Résolu

    Find the volume of a cone with radius 3 and height 8.

    1. 01V = (1/3) × π × 3² × 8
    2. 02= (1/3) × π × 9 × 8
    3. 03= (1/3) × 72π
    4. 04= 24π
    5. 05≈ 75.3982
    6. 06Slant height = √(9 + 64) = √73 ≈ 8.5440

    Questions Fréquentes

    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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