Sphere Calculator
Calculate volume, surface area, diameter and circumference of a sphere from its radius.
Inputs
units
Volume
523.5988cu units
Surface Area
314.1593sq units
Diameter
10.0000units
Great Circle Circumference
31.4159units
Step by step
Volume
V = (4/3)π × 5³
= 523.5988
Surface area
SA = 4π × 5²
= 314.1593
Diameter
d = 2 × 5
= 10
How it works
A sphere is perfectly round in 3D. Its volume is (4/3)πr³ and surface area is 4πr². These formulas were derived by Archimedes.
Formulas
Volume
V = (4/3)πr³
- r
- Radius
Surface Area
SA = 4πr²
- r
- Radius
Frequently Asked Questions
How do I find the radius from the volume?
r = ∛(3V/(4π)). Take the cube root of 3V divided by 4π.
What is the ratio of volume to surface area?
V/SA = r/3. As the sphere grows, volume increases faster than surface area.