What is sphere volume?
V = (4/3)πr³.
Sphere Calculator
Compute the classic sphere measures V = (4/3)πr³ and A = 4πr².
Enter radius
Provide a positive sphere radius.
About this calculator
How to use Sphere Calculator, plus the formulas and logic behind the results.
Tool description
A sphere is the set of points at fixed distance r from a center in 3D. Volume and surface area depend only on r.
How to use
- Enter a positive radius.
- Select Calculate.
- Read volume and surface area.
- Optionally note diameter = 2r.
Formulas & reference
V = (4/3)πr³A = 4πr²d = 2r
Sphere facts
- Surface is 4 great circles’ area
- Volume scales with r³
- Area scales with r²
- r = 1 → V = 4π/3
Calculation logic
Uses M_PI with the standard sphere formulas.
Radius must be positive.
Sphere Calculator FAQ
Common questions about this calculator and how to use the results.
What is sphere surface area?
A = 4πr².
Can I enter diameter instead?
Convert first: r = d/2, or use related circle tools.
Does this include a hollow sphere?
Surface area is the outer shell measure; volume is the solid ball.
What if r = 0?
Rejected; enter a positive radius.
How does a hemisphere compare?
Hemisphere volume is half; total hemisphere surface is not simply half.