Torus Volume Calculator

Inner Radius \( a \):

Outer Radius \( b \):

Volume (cm³): Volume (in³): Volume (ft³): Volume (m³): Volume (L):

1. What is a Torus Volume Calculator?

Definition: This calculator computes the volume of a torus based on its inner radius \( a \) and outer radius \( b \).

Purpose: Useful in geometry, engineering, and design for determining the volume of toroidal shapes (e.g., doughnuts, rings).

2. How Does the Calculator Work?

The calculation is based on the following formula:

\[ V = 0.25 \times \pi^2 \times (b - a)^2 \times (b + a) \]

Unit Conversions:

Input (Length): mm (×0.1), cm (×1), m (×100), in (×2.54), ft (×30.48) to cm
Volume: cm³ (direct), in³ (×0.0610237), ft³ (×0.0000353147), m³ (×0.000001), L (×0.001)

Explanation: The inner and outer radii are converted to cm, the volume is calculated in cm³, and then converted to in³, ft³, m³, and L.

3. Importance of Torus Volume Calculation

Details: Torus volume calculations are essential in engineering (e.g., designing pipes, rings) and geometry for understanding toroidal shapes.

4. Using the Calculator

Tips: Enter the inner radius \( a \) and outer radius \( b \) in mm, cm, m, in, or ft (\( a \geq 0 \), \( b > a \)). The result shows the volume in cm³, in³, ft³, m³, and L.

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