Sphere - Surface Area from Volume

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:

• 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⋅r²
• Volume of a sphere V = 4/3⋅π⋅r³

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

Sphere Calculators

• 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