Sphere Volume Calculator

    Calculate sphere volume, surface area, diameter, great circle circumference, and radius from radius, diameter, volume, surface area, or circumference.

    Main workflow: calculate sphere volume from radius or diameter. Reverse modes recover radius from volume, surface area, or great circle circumference.
    Volume describes the solid sphere. Surface area describes the outer spherical surface. A great circle is a cross-section through the center.

    Sphere volume from radius or diameter

    English search intent separates sphere volume from spherical cap and surface-area-only pages. This calculator keeps the complete sphere model and supports radius, diameter, volume, surface area, and great circle circumference inputs.

    r is the sphere radius.

    S is the surface area of the sphere.

    Input modes

    Known valueWhat the calculator recovers
    Radius or diameterVolume, surface area, and circumference.
    VolumeRadius and all dependent outputs.
    Surface areaRadius and volume.
    Great circle circumferenceRadius and volume.
    For a dome or one-plane slice of a sphere, use the spherical cap volume calculator.

    Frequently Asked Questions

    Sources and References

    Calculations are based on the listed reference sources. Links open in a new tab.

    Updated:

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