Sphere Calculator
Calculate the volume, surface area, diameter, and great-circle circumference of a sphere from its radius. Exact formulas, instant results.
Sphere dimensions
Volume
113.0973
- Diameter
- 6
- Circumference
- 18.8496
- Surface area
- 113.0973
- Radius
- 3
Frequently Asked Questions about the Sphere Calculator
What is the formula for the volume of a sphere?
Volume equals four-thirds times pi times the radius cubed: V = (4/3) * pi * r^3. For a radius of 3, that gives 36 * pi, about 113.10 cubic units.
What is the formula for the surface area of a sphere?
Surface area equals four times pi times the radius squared: SA = 4 * pi * r^2. For a radius of 3, that is 36 * pi, about 113.10 square units.
How do I find the diameter or circumference of a sphere?
Diameter is simply twice the radius: d = 2r. The great-circle circumference (around the equator) is C = 2 * pi * r, the same formula you would use for a circle of that radius.
Can I calculate a sphere from its diameter instead?
Yes. Just divide the diameter by 2 to get the radius, then enter that value. A diameter of 10 corresponds to a radius of 5, which gives a volume of about 523.60 and a surface area of about 314.16.
Why must the radius be greater than zero?
A sphere with zero or negative radius is not a real object: it has no volume or surface area. The calculator returns no result for inputs of 0 or less, and for blank or non-numeric entries.