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Radius of a Sphere Calculator

LAST UPDATE: November 7th, 2024

Method #1 – Radius from the volume

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Formula – How to calculate the radius of a sphere from the volume

Radius = 3√((3 x Volume) ÷ (4 x π))

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

Method #2 – Radius from the surface area

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Formula – How to calculate the radius of a sphere from the surface area

Radius = √(Area ÷ 4π)

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

Method #3 – Radius from the diameter

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Formula – How to calculate the radius of a sphere from the diameter

Radius = Diameter ÷ 2

Example

A sphere has a diameter of 10

Radius = 10 ÷ 2 = 5

Method #4 – Radius from the circumference

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Formula – How to calculate the radius of a sphere from the circumference

Radius = Circumference ÷ π ÷

Example

A sphere has a circumference of 100

Radius = 100 ÷ π ÷ 2

Radius = 100 ÷ 3.14159 ÷ 2

Radius = 15.915508