Calculadora do Volume do Cone — 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)

    • Exemplo Resolvido

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

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