Ellipsoid Volume Calculator

Semi-Axis \( A \):

Semi-Axis \( B \):

Semi-Axis \( C \):

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

1. What is an Ellipsoid Volume Calculator?

Definition: This calculator computes the volume of an ellipsoid based on the lengths of its three semi-axes.

Purpose: Useful for geometric calculations in mathematics, physics, and engineering.

2. How Does the Calculator Work?

The calculation is based on the following formula:

\[ \text{Volume} = \frac{4}{3} \times \pi \times A \times B \times C \]

Unit Conversions:

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

Explanation: Inputs are converted to cm, volume is calculated in cm³, and then converted to in³, ft³, and m³.

3. Importance of Ellipsoid Volume Calculation

Details: Calculating the volume of an ellipsoid is essential in fields like engineering, physics, and biology (e.g., modeling volumes of objects or organs).

4. Using the Calculator

Tips: Enter the lengths of the three semi-axes \( A, B, C \) in mm, cm, m, in, or ft (all >0). Results show the volume in cm³, in³, ft³, and m³.

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