免费圆环体积计算器
根据大半径和小半径计算圆环(甜甜圈形)体积。
体积
394.7842
公式
## 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.
计算示例
Torus with major radius 5 and minor radius 2.
- 01Volume = 2 × pi² × 5 × 4 = 40pi² ≈ 394.7842
- 02Surface area = 4 × pi² × 5 × 2 = 40pi² ≈ 394.7842
常见问题
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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