Calculatrice de Volume de Tore Gratuit

Calculez le volume et la surface d'un tore. Utilisez les rayons intérieur et extérieur pour obtenir le résultat.

Volume

394.7842

Aire de surface394.7842

Formule

Torus Formulas

Volume

V = 2 × pi² × R × r²

Surface Area

SA = 4 × pi² × R × r

Where:

  • R = major radius (distance from the center of the torus to the center of the tube)
  • r = minor radius (radius of the tube itself)
  • A torus is the 3D shape formed by revolving a circle around an axis in the same plane.

    Exemple Résolu

    Torus with major radius 5 and minor radius 2.

    1. 01Volume = 2 × pi² × 5 × 4 = 40pi² ≈ 394.7842
    2. 02Surface area = 4 × pi² × 5 × 2 = 40pi² ≈ 394.7842

    Questions Fréquentes

    What is a torus?

    A torus is a doughnut-shaped surface of revolution. It is generated by rotating a circle (with radius r) around an axis at distance R from the center of the circle.

    Can the volume and surface area be equal?

    Yes, when R × r = R, which simplifies to r = 1 (in the appropriate units). The example above coincidentally has equal numerical values.

    What is R and r in a torus?

    R (major radius) is the distance from the center of the torus to the center of the tube. r (minor radius) is the radius of the tube. R must be greater than r for a ring torus.

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