Sphere Volume and Surface Area

Calculate the volume of a sphere. Results include the surface area in square units and the sphere's arc length (circumference).

This calculator works for any measurement unit. For example, if you calculate inches, inches will have to be used in all the length fields, and the result of the areas will be square inches; the volume results in cubic inches and length measurements in the starting unit inches.

Sphere

Calculation

enter the sphere diameter
decimal precision, number of digits after the decimal point

Results

the diameter of the sphere (starting unit)
the volume of the sphere (unit cubed)
surface area (unit squared)
arc length, the circumference (starting unit)
surface area to volume ratio (decimal)

Formula

V = 4/3Π(D/2)³
C = 2Π(D/2)
SA = 4Π(D/2)²
s/v = SA/V
where V is the volume of the sphere
C the circumference
SA the surface area
s/v the surface area to volume ratio
Π = 3.14159265
D the diameter

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