Sphere Calculator

Calculate sphere radius, diameter, volume, and area using many different methods.

How to calculate sphere radius

  • Calculate sphere radius by using diameter, volume, or area.

    Calculate sphere radius using diameter:
    radius = Diameter ÷ 2

    Calculate sphere radius using area:
    A = Area
    π = 3.14159 approximately

    radius =
    1
    2
    xA ÷ π= ( 1 ÷ 2 ) x A ÷ π

    or radius = A ÷ (4 x π)

    Calculate sphere radius using volume:
    V = Volume
    π = 3.14159 approximately

    radius = (
    3 x
    V
    4 x π
    )1/3

How to calculate sphere volume

  • Calculate sphere volume by using radius, diameter, or area.

    r = radius
    d = diameter
    A = area
    V = volume
    PI = π = 3.14159 approximately

    Calculate sphere volume using radius:

    V =
    4
    3
    x π x r3

    Calculate sphere volume using diameter:

    V =
    4
    3
    x π x (d ÷ 2)3

    Calculate sphere volume using area:

    V = A3/2 ÷ (6 x π)

How to calculate sphere area

  • Calculate sphere area by using radius, diameter, or volume.

    r = radius
    d = diameter
    A = area
    V = volume
    PI = π = 3.14159 approximately

    Calculate sphere area using radius:
    A = 4 x π x r2

    Calculate sphere area using diameter:
    A = 4 x π x (d ÷ 2)2

    Calculate sphere area using volume:
    A = π1/3 x (6 x V)2/3