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Sphere - Surface Area from Volume

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`A = 4 pi * (root(3)(V*3/(4pi)))^2`
`(V)"Volume of the Sphere."`

The Surface Area of a Sphere from the Volume calculator computes the Surface Area based on the volume of a sphere.

INSTRUCTIONS:  Choose units and enter the following:

  • (V) Volume of Sphere

Sphere Surface Area (A): The area is returned in square meters.  However, this can be automatically converted to compatible units the pull-down menu. 

The Math

The formula for the surface area of a sphere from the volume is: 

`A = 4 pi * (root(3)(V*3/(4pi)))^2`

where:

This equation uses the formulas for:

This solves for the radius from the Volume, and then uses the radius in the computation or the surface area.


Sphere Calculators