Sphere Volume Calculator
Calculate the volume of a sphere from its radius
Volume
Embed this calculator
Add it to your website or blog
Sphere Volume Calculator Formula
Volume of a sphere:
V = (4/3) × π × r³
r = radius
How to Use This Calculator
- Enter the radius of the sphere.
- Click Calculate Volume to see the result.
Frequently Asked Questions
What if I only know the diameter?
The radius is half the diameter: r = diameter / 2. Divide your diameter by 2 before entering it here.
What is the surface area of a sphere?
The surface area formula is SA = 4πr². This calculator computes volume only. If you need surface area, compute 4 × π × r² separately.
What units does this calculator use?
This calculator is unit-agnostic. If you enter the radius in inches, the result is in cubic inches (in³). Use whatever unit matches your measurement.
How much water does a spherical tank hold?
Calculate the volume using V = (4/3)πr³, then convert to your desired liquid unit. For example, 1 cubic meter = 1,000 liters, so a sphere with r = 0.5 m holds about 524 liters.
Why does the sphere formula use 4/3?
The 4/3 factor comes from integrating the areas of infinitely thin circular slices stacked along the diameter. It can also be derived by showing that a sphere's volume equals exactly 2/3 of the cylinder that encloses it, leading to (4/3)πr³. If you only need half a sphere, use our hemisphere volume calculator.
Can I share my calculation?
Yes. After clicking Calculate, the URL updates with your input value. Copy and share the URL to let anyone else see the same pre-filled form and result.