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Ellipsoid semiaxes from volume: Third semiaxis Calculator

Ellipsoid semiaxes from volume: Calculate third semiaxis from Volume, First semiaxis, Second semiaxis. Check the formula, input units and worked result on this page.

Enter your values

cm³
Formula symbol: V. Required unit: cm³. Must be greater than zero.
cm
Formula symbol: a. Required unit: cm. Half the full dimension in that direction. Must be greater than zero.
cm
Formula symbol: b. Required unit: cm. Half the full dimension in that direction. Must be greater than zero.

Use a decimal point, without thousands separators.

Lengths use cm, areas cm² and volumes cm³ on one consistent scale. The positive real branch is selected; the supplied quantities must describe the stated shape.
Example result
Third semiaxis
2 cm

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

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How it works

The three quantities are mutually perpendicular semiaxes. Full diameters must each be halved before entry. This form solves for third semiaxis; enter the known quantities in Volume, First semiaxis, Second semiaxis.

Inputs and units
Ellipsoid semiaxes from volume: Third semiaxis Calculator · Inputs and units
InputExample valueWhat to enter
Volume100.53096491487338 cm³Formula symbol: V. Required unit: cm³. Must be greater than zero.
First semiaxis4 cmFormula symbol: a. Required unit: cm. Half the full dimension in that direction. Must be greater than zero.
Second semiaxis3 cmFormula symbol: b. Required unit: cm. Half the full dimension in that direction. Must be greater than zero.
c = 3V/(4πab)

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.

Volume
100.53096491487338 cm³
First semiaxis
4 cm
Second semiaxis
3 cm

Complete example results

Third semiaxis
2 cm

Reading the result

The result solves for third semiaxis from the entered quantities. Check the result unit and the formula conditions before using 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.

When can I use the third semiaxis result?

Lengths use cm, areas cm² and volumes cm³ on one consistent scale. The positive real branch is selected; the supplied quantities must describe the stated shape.

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.

Method sources: openstax.org

Methods & accuracy

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