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3D Geometry Tool

Volume of a Sphere

Easily calculate the volume and surface area of any sphere. Enter the radius or diameter to get instant results with steps.

Volume
Space Inside
Surface Area
Total Area
units

Sphere Formulas

A sphere is a perfectly round geometrical object in 3D space. To calculate its properties, you only need the **radius (r)**.

Volume Formula

V = (4/3) × π × r³

Surface Area Formula

A = 4 × π × r²

How to Calculate Sphere Volume

Follow these simple steps:

  1. Find the radius: If you have the diameter, divide it by 2 to get the radius.
  2. Cube the radius: Multiply the radius by itself three times (r × r × r).
  3. Multiply by Pi: Multiply the result by π (approximately 3.14159).
  4. Multiply by 4/3: Finally, multiply by 4 and divide by 3.

Solved Example

Calculate the volume of a soccer ball with a radius of 11 cm.

V = (4/3) × π × r³
V = 1.3333 × 3.14159 × 11³
V = 4.1888 × 1331
V ≈ 5,575.28 cm³

Frequently Asked Questions

What is the difference between radius and diameter?

The diameter is the distance across the sphere through the center. The radius is the distance from the center to the edge. Radius = Diameter / 2.

Does this work for partial spheres (hemispheres)?

No, this calculator is for full spheres. For a hemisphere, calculate the volume of a full sphere and divide by 2.

What units should I use?

You can use any unit (cm, inches, meters, feet). The result will be in cubic units of whatever you entered (e.g., cubic inches, cubic meters).