Volume of Torus Calculator

Author: Neo Huang Review By: Nancy Deng
LAST UPDATED: 2024-09-18 22:52:52 TOTAL USAGE: 119 TAG: Geometry Shapes Volume

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The volume of a torus is calculated using the formula:

\[ V = (2\pi^2) \times R \times r^2 \]

Where:

  • \( R \) is the major radius (distance from the center of the torus to the center of the tube).
  • \( r \) is the minor radius (radius of the tube itself).

Example Calculation

For a torus with \( R = 5 \) units and \( r = 2 \) units:

\[ V = (2\pi^2) \times 5 \times 2^2 \approx 197.392088 \text{ cubic units} \]

Usage

This calculator is useful for determining the volume of toroidal shapes in engineering, design, and physics applications.

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