Volume of Sphere Calculator Formula

Understand the math behind the volume of sphere calculator. Each variable explained with a worked example.

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Formulas Used

Volume

volume = (4 / 3) * pi * r^3

Surface Area

surface_area = 4 * pi * r^2

Diameter

diameter = 2 * r

Variables

VariableDescriptionDefault
rRadius5

How It Works

How to Calculate the Volume of a Sphere

Formula

V = (4/3) × π × r³

Where:

  • V = Volume
  • π ≈ 3.14159
  • r = radius

    • Surface Area

    SA = 4 × π × r²

    Worked Example

    Find the volume of a sphere with radius 5.

    r = 5
    1. 01V = (4/3) × π × 5³
    2. 02= (4/3) × π × 125
    3. 03= (4/3) × 392.699
    4. 04≈ 523.5988

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