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Sphere radius and area from volume: Surface area Calculator

Sphere radius and area from volume: Calculate surface area from Volume. 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.

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
Surface area
113.09733553 cm²

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

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How it works

Volume describes a full sphere. Surface area is its boundary, not an internal layer or hemisphere area. This form solves for surface area; enter the known quantities in Volume.

Inputs and units
Sphere radius and area from volume: Surface area Calculator · Inputs and units
InputExample valueWhat to enter
Volume113.09733552923255 cm³Formula symbol: V. Required unit: cm³. Must be greater than zero.
S = 4π(3V/(4π))^(2/3)

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.

Volume
113.09733552923255 cm³

Complete example results

Surface area
113.09733553 cm²

Reading the result

The result solves for surface area 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 surface area 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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