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Ellipsoid Volume Calculator

Calculate ellipsoid volume using three semiaxes. Enter half-dimensions, not full diameters.

Enter your values

Enter a numeric value. Half the full dimension in that direction. Must be greater than zero.
Enter a numeric value. Half the full dimension in that direction. Must be greater than zero.
Enter a numeric value. Half the full dimension in that direction. Must be greater than zero.

Use a decimal point, without thousands separators.

Example result
Volume
251.32741229

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Calculate ellipsoid volume using three semiaxes. Enter half-dimensions, not full diameters.

Inputs and units
Ellipsoid Volume Calculator · Inputs and units
InputExample valueWhat to enter
Semiaxis a5Enter a numeric value. Half the full dimension in that direction. Must be greater than zero.
Semiaxis b4Enter a numeric value. Half the full dimension in that direction. Must be greater than zero.
Semiaxis c3Enter a numeric value. Half the full dimension in that direction. Must be greater than zero.
V = 4πabc/3

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Semiaxis a
5
Semiaxis b
4
Semiaxis c
3

Complete example results

Volume
251.32741229

Reading the result

Enter lengths in the same unit. Area uses the square of that unit and volume its cube. Height is perpendicular to the base; use a sloping side only when the input explicitly asks for it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

How do full dimensions become semiaxes?

Divide each full diameter by two before entering it. For full dimensions 10, 8 and 6, enter 5, 4 and 3. Entering all three full dimensions as semiaxes makes the volume eight times too large.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Methods & accuracy

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