Sphere Calculator
Get sphere volume and surface area instantly from the radius.
Sphere Calculator
Get sphere volume and surface area instantly from the radius.
How to use the Sphere Calculator
- Enter the radius.
- Click Calculate.
Formula
Volume = 4/3 × πr³
Surface area = 4πr²
Example
Radius 6: Volume = 4/3×π×216 ≈ 904.779. Surface area = 4×π×36 ≈ 452.389.
Step-by-step calculation
- Volume: 4/3 × π × 6³ = 4/3 × π × 216 ≈ 904.779.
- Surface area: 4 × π × 36 ≈ 452.389.
Real-world uses
- Ball and bearing calculations.
- Planetary volume estimates.
- Tank and container design.
Common mistakes
- Using diameter instead of radius.
- Forgetting the 4/3 in the volume formula.
- Confusing volume and surface area formulas.
Frequently asked questions
What is the great circle circumference?
The circumference of the largest circle that can be drawn on the sphere: C = 2πr.
How do I find volume from surface area?
r = √(SA / 4π), then V = 4/3 × π × r³.
Is this accurate for Earth?
Approximately. Earth is an oblate spheroid, not a perfect sphere, but the error is less than 1%.