Geometry & Shapes
Sphere Calculator
Sphere: it uses volume = 4⁄3·πr³ and surface area = 4πr². Worked through below with real figures, and the calculator repeats the working on your own inputs — free, on-device, instant.
Sphere Calculator takes your sphere radius and gives back the volume and surface area, applying standard volume and surface-area formulas. It's a quick, browser-based way to find the volume and surface area of the solid.
About this calculator
It matters whenever a shape has to be measured, cut, covered or compared and the geometry has to be right first. The governing relationship: It uses volume = 4⁄3·πr³ and surface area = 4πr². See it on real numbers: A sphere of radius 3: volume = ⅜π × 3³ = 113.1 , surface area = 4π × 3² = 113.1 . The calculator above applies the same steps to whatever you enter — computed locally, nothing sent anywhere.
How to use
- Enter the radius of the sphere.
- Press Calculate to measure the sphere.
- Read the volume, surface area, and diameter.
- Press Reset to try another sphere radius.
Why use Sphere Calculator
Fast
Calculations run in your browser. No round trip to a server.
Private
Your inputs never leave your device. Nothing is uploaded.
Free
No signup, no paywall, no ads-in-results, no watermarks.
Accurate
Uses standard formulas for quick educational estimates; check critical results before relying on them.
Mobile-ready
Optimised for phones, tablets, and desktops alike.
Transparent
Honest disclaimers wherever browser limits or regional rules apply.
Common uses
Use it for packaging and box design
Use it when checking a homework answer
Use it when comparing two solids
Use it for filling or pouring volumes
Use it for material-volume estimates
Use it for quick volume and surface-area checks
Technical notes
Sphere Calculator uses volume = 4⁄3·πr³ and surface area = 4πr².
Results assume exact, idealised shapes; real-world measurement error is not included.
The tool works offline once loaded, since every computation is client-side.
FAQ
How is sphere volume calculated?
Volume is four thirds pi times the radius cubed: (4/3)πr³.
How is the sphere's surface area found?
Surface area is 4πr², four times the area of a great circle of the sphere.
How do I use the diameter instead?
Enter half the diameter as the radius; the diameter is shown back to you in the result.
Does the Sphere Calculator send my data to a server?
No. The Sphere Calculator runs entirely in your browser, so nothing you enter is uploaded, stored, or shared.
Worked example
A sphere of radius 3: volume = ⅜π × 3³ = 113.1, surface area = 4π × 3² = 113.1.