Sphere - Volume from Surface Area

The Volume of a Sphere from the Surface Area calculator computes the volume (V) based on the surface area of a sphere (SA).  Geometric Sphere 

INSTRUCTIONS:  Choose units and enter the following:

• (SA) Volume of the Sphere.

Sphere Volume (V): The Volume of the Sphere (V) is returned in cubic meters.  However, this can be automatically converted to compatible units the pull-down menu. 

The Math

The equation for the surface area of a sphere is as follows:

          SA = 4 π  r²

If we solve for the radius (r), we have the formula in this calculator:

            `r = sqrt( (SA) / (4π) )`

Now use the radius (r) in the formula for the volume of a sphere:

            `v = 4/3•π•r^3`

            `v = 4/3•π•(sqrt( (SA) / (4π) ))^3`

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