Find sphere surface area, volume, and diameter from radius
Result
Sphere Surface Area
Step-by-Step Derivation
Sphere Surface Area Formula
A = 4πr²
Sphere surface area measures the outside of a perfectly round three-dimensional object. It depends on the square of the radius, so doubling radius makes surface area four times larger.
⚠Radius must be positive. Surface area is in square units, while volume is in cubic units.
How Sphere Surface Area Works
Every point on a sphere is the same distance from the center. That distance is the radius used to calculate both surface area and volume.
Radius
Distance from center to surface.
Square Growth
Surface area changes with r².
Volume Link
The tool also reports 4/3πr³.
Diameter
Diameter is twice the radius.
💡 Example: For r=6, A=4π(6²)=452.389 square units and volume=904.779.
Applications of Sphere Surface Area
CoatingsBall DesignAstronomyMaterial Estimates
Frequently Asked Questions
What is a sphere surface area calculator?▼
It calculates the outside area of a sphere from its radius.
What is the sphere surface area formula?▼
The formula is A = 4πr², where r is the radius.
How do I use this calculator?▼
Enter the radius and click Calculate to get surface area, volume, and diameter.
Can I enter diameter instead of radius?▼
If you have diameter, divide it by 2 first to get the radius.
Where is sphere surface area used?▼
It is used in geometry, coatings, ball design, physics, astronomy, and material estimates.
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