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

Enter a value for all fields

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

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

where:

- A = Surface area of the sphere
- V = Volume of the sphere

This equation uses the formulas for:

- surface area of a sphere A = 4⋅π⋅r
^{2} - Volume of a sphere V = 4/3⋅π⋅r
^{3}

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

- Sphere Surface Area based radius (r)
- Sphere Surface Area from Volume
- Sphere Volume from Radius
- Sphere Volume from Circumference
- Sphere Volume from Surface Area
- Sphere Volume from Mass and Density
- Sphere Radius from Volume
- Sphere Radius from Surface Area
- Sphere Weight (Mass) from volume and density
- Sphere Density
- Area of Triangle on a Sphere
- Distance between Two Points on a Sphere
- Sphere Cap Surface Area
- Sphere Cap Volume
- Sphere Cap Weight (Mass)
- Sphere Segment Volume
- Sphere Segment Weight (Mass)
- Sphere Segment Wall Surface Area (without the circular top and bottom ends)
- Sphere Segment Full Surface Area (with the top and bottom circles, aka ends)
- Volume of Spherical Shell
- Mass of Spherical Shell