Method #1 – Diameter from the volume
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Formula – How to calculate the diameter of a sphere from the volume
Step 1: Calculate the radius
Radius = 3√((3 x Volume) ÷ (4 x π))
Step 2: Calculate the diameter
Diameter = Radius x 2
Example
A sphere has a volume of 10
Radius = 3√((3 x 10) ÷ (4 x π))
Radius = 3√((3 x 10) ÷ (4 x 3.14159))
Radius = 3√(30 ÷ 12.56636)
Radius = 3√(2.38733)
Radius = 3√(2.38733)
Radius = 1.33651
Diameter = 1.33651 x 2
Diameter = 2.67302
Method #2 – Diameter from the surface area
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Formula – How to calculate the diameter of a sphere from the surface area
Step1: Calculate the radius
Radius = √(Area ÷ 4π)
Step 2: Calculate the diameter
Diameter = Radius x 2
Example
A sphere has a surface area of 10
Radius = √(10 ÷ (4 x 3.14159))
Radius = √(10 ÷ 12.56636)
Radius = √0.795775
Radius = 0.89206
Diameter = 0.89206 x 2
Diameter = 1.78412
Method #3 – Diameter from the radius
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Formula – How to calculate the diameter of a sphere from the radius
Diameter = Radius x 2
Example
A sphere has a radius of 10
Diameter = 10 x 2 = 20
Method #4 – Diameter from the circumference
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Formula – How to calculate the diameter of a sphere from the circumference
Diameter = Circumference ÷ π
Example
A sphere has a circumference of 10
Diameter = 10 ÷ π
Diameter = 10 ÷ 3.14159
Diameter = 3.1831