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Diameter of a Sphere

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