Mathematics · Geometry
Sphere Calculator
Calculate sphere volume and surface area from radius.
Inputs and results stay in this browser. Change one value at a time to explore the relationship.
Calculation steps
- Cube the radius: 3³ = 27.
- Volume = 4π(27) ÷ 3 = 113.09733552923255.
- Surface area = 4π(3²) = 113.09733552923255.
Definition and formula
Surface area scales with radius squared, while volume scales with radius cubed.
Volume = 4πr³ ÷ 3; surface area = 4πr²
Worked example
For radius 3, volume ≈ 113.10 and surface area ≈ 113.10.
Common mistake
Volume uses r cubed; surface area uses r squared.
How to learn with this calculator
Begin with the worked example, then change one value while keeping the others fixed. Compare the new result and calculation steps to identify which part of the formula changed.
Clear answers
Frequently asked questions
What does the Sphere do?
Calculate sphere volume and surface area from radius.
How does the Sphere work?
The calculator applies Volume = 4πr³ ÷ 3; surface area = 4πr². Surface area scales with radius squared, while volume scales with radius cubed.
What can I learn from the Sphere?
It connects the mathematical rule to your chosen numbers and shows each calculation step. Change one input at a time to see how the result responds.
Does MW SysArc receive or store what I enter?
No. The calculation runs locally in your browser. MW SysArc does not receive or store your calculation inputs.
How should I use the result?
Use the steps to understand the method, then verify important school or professional work using the notation and rounding rules required in your setting.
Last reviewed 2026-07-14. Calculations tested 2026-07-14.