Calculate sphere volume, surface area with step-by-step explanations.
Enter Sphere Data
Results
Step-by-Step Solution
Sphere Formulas
Volume
V = (4/3)πr³
Where r is the radius
Surface Area
A = 4πr²
Where r is the radius
Diameter
d = 2r
Twice the radius
Circumference
C = 2πr
Same as circle circumference
Quick Examples
About Sphere Calculations
What is a Sphere?
A sphere is a perfectly round three-dimensional object where all points on the surface are equidistant from the center. It is the most symmetrical three-dimensional shape.
Key Properties
Perfect symmetry: All points on surface are equidistant from center
No edges or vertices: Completely smooth surface
Constant curvature: Same curvature at every point
Maximum volume: Greatest volume for given surface area