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Sphere radius and volume from surface: Volume Calculator

Sphere radius and volume from surface: Calculate volume from Surface area. Check the formula, input units and worked result on this page.

Enter your values

cm²
Formula symbol: S. Required unit: cm². 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
Volume
113.09733553 cm³

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

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How it works

Surface area covers the full sphere. The inverse square root selects the positive physical radius rather than a negative branch. This form solves for volume; enter the known quantities in Surface area.

Inputs and units
Sphere radius and volume from surface: Volume Calculator · Inputs and units
InputExample valueWhat to enter
Surface area113.09733552923255 cm²Formula symbol: S. Required unit: cm². Must be greater than zero.
V = (4π/3)(S/(4π))^(3/2)

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.

Surface area
113.09733552923255 cm²

Complete example results

Volume
113.09733553 cm³

Reading the result

The result solves for volume 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 volume 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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