Overview
A sphere is a three-dimensional solid perfectly symmetric about its center, like a globe or a football. Its volume and surface area depend only on the radius, using the third and second powers respectively.
Formula
Volume = (4/3)πr³, and surface area = 4πr².
How it works
Enter the radius
The distance from the center to the surface.
Compute the surface area
Multiply 4π by the radius squared.
Compute the volume
Multiply (4/3)π by the radius cubed.
Read the results
The diameter and great-circle circumference are also shown.
Worked examples
Example 1: radius 4
Surface area ≈ 201.0619, volume ≈ 268.0826.
Example 2: radius 10
Surface area ≈ 1256.6371, volume ≈ 4188.7902.
Frequently asked questions
Is the surface area four times the great circle?
Yes. Surface area = 4πr², while the great circle area = πr².
How do I find the radius from the volume?
r = the cube root of (3V ÷ 4π).
What is the great-circle circumference?
The circumference of the circle formed by cutting the sphere through its center.
This calculator is for educational and informational purposes only and is not a substitute for professional advice.