Sphere Volume Calculator
Calculate volume and surface area of balls, globes, domes, and spherical tanks. Enter your measurements below to calculate instant, accurate volume in gallons, liters, cubic feet, or cubic meters.
Enter Dimensions
Measure your sphere and select units for each measurement
How to Calculate Sphere Volume
Understand the mathematical formula and measurement method
Where r is radius. Total surface area is A = 4πr².
Calculation Steps
- 1Measure the radius (r) from the exact center of the sphere to any point on its surface.
- 2Cube the radius (r × r × r).
- 3Multiply by 4/3 and by Pi (π): Volume = (4/3) × π × r³.
Practical Everyday Uses for Sphere
Where this 3D calculation is applied in construction, shipping, and daily projects
Sports Balls
Calculate the air volume inside regulation basketballs (r ≈ 12.1 cm), soccer balls, and tennis balls.
Pressurized Horton Spheres
Industrial pressurized gas spheres used in oil refineries and chemical plants.
Planetary & Celestial Bodies
Compute celestial spatial volumes like Earth (mean radius 6,371 km) or the Moon.
Frequently Asked Questions
Common measurement questions for sphere volume
Why is the formula for a sphere (4/3)πr³?▼
Derived through calculus by integrating thin circular discs from -r to +r along the sphere diameter.
How do I calculate volume from circumference?▼
Divide the circumference by 2π to find radius: r = C / (2π). Then apply V = (4/3)πr³.
Explore Other 3D Volume Calculators
Quick links to other shapes in our mathematical suite