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● Geometry Calculator

Sphere Calculator

Enter a sphere's radius, diameter, circumference, surface area, or volume. The calculator instantly finds all remaining measurements with clear formulas and steps.

STEP 01Select a known measurement

Choose radius, diameter, circumference, surface area, or volume.

STEP 02Enter the value

Provide a positive measurement and choose your preferred unit.

STEP 03Review all results

See every sphere dimension, formulas, and calculation details.

Radius
5 cm
center to surface
Diameter
10 cm
twice the radius
Circumference
31.416 cm
great-circle distance
Surface area
314.159 cm²
outer surface
Volume
523.599 cm³
space enclosed
Sphere input
cm
Given radius: r = 5 cm
Sphere results
Surface area
314.159 cm²
Volume
523.599 cm³
d = 10 cm
Sphere formulas
d = 2r
C = 2πr
A = 4πr²
V = 4⁄3πr³
Calculated dimensions
Radius5 cm
Diameter10 cm
Circumference31.416 cm
Calculation details
Surface area314.159 cm²
Volume523.599 cm³
Radius cubed125 cm³
How the calculation works

From r = 5 cm: diameter = 2 × 5 = 10 cm; circumference = 2π × 5 = 31.416 cm; surface area = 4π × 5² = 314.159 cm²; volume = 4⁄3π × 5³ = 523.599 cm³.

About spheres

A sphere is a perfectly round three-dimensional object whose surface points are all the same distance from its center. That fixed distance is the radius.

Frequently asked questions
What is the difference between radius and diameter?

The radius runs from the center to the surface. The diameter crosses the sphere through its center and equals twice the radius.

How do I find the volume of a sphere?

Use V = 4⁄3πr³, where r is the radius.

How do I find sphere surface area?

Use A = 4πr². Surface area is expressed in square units.

Can I start with volume or surface area?

Yes. Select the known measurement and the calculator will solve backward to find the radius and all other values.

Math Calculation Disclaimer

Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.

ⓘ Sphere Calculator Disclaimer
This calculator is intended for educational and general measurement purposes. Results are rounded numerical estimates and should be independently verified for precision-critical work.
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