Sphere Volume and Surface Area Calculator
Find the volume of a sphere with V = 4/3 pi r cubed, plus surface area, diameter and great-circle circumference from the radius or diameter.
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Input
Enter a radius or diameter to calculate the volume and surface area of a sphere.
Input value
From radius
Result
Volume
523.598776
Surface area
314.159265
Diameter
10
Great-circle circumference
31.415927
Lengths share the input unit, areas are squared and volumes are cubed.
How it works
- Volume is V = 4/3 times pi times r cubed, where r is the radius.
- Surface area is S = 4 times pi times r squared.
- When you enter a diameter, the radius is taken as diameter divided by 2.
- The great-circle circumference is C = 2 times pi times r.
- Lengths share the input unit, areas are squared and volumes are cubed.
- Pi is used as approximately 3.14159 in the calculation.
Frequently asked questions
- How do I calculate the volume and surface area of a sphere?
- The volume is V = 4/3 × π × r³ and the surface area is S = 4 × π × r², where r is the radius. We use π ≈ 3.14159.
- What if I only know the diameter, not the radius?
- Just use r = diameter ÷ 2. This calculator accepts either the radius or the diameter as input.
- What is the great-circle circumference?
- The great circle is the largest cross-section passing through the sphere's center, and its circumference is C = 2 × π × r, much like the length of the Earth's equator.
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