Volume of a Sphere in Cubic Feet Calculator
Calculate the exact volume of any sphere with our easy-to-use calculator. Perfect for educational, engineering, and scientific applications.
Sphere Volume Calculator
Results
The volume of the sphere is:
Step-by-step calculation:
3D Sphere Visualization
Drag to rotate the sphere. Scroll to zoom in/out.
Volume Unit Converter
Convert your sphere volume to other units:
Sphere Volume Formula
The volume of a sphere is calculated using the following formula:
Where:
- V is the volume of the sphere in cubic units
- π (pi) is approximately 3.14159…
- r is the radius of the sphere in linear units
Alternatively, if you know the diameter instead of the radius:
Where d is the diameter of the sphere.
If you have the circumference of the sphere:
Where C is the circumference of the sphere.
Example Calculations
A regulation basketball has a diameter of approximately 9.4 inches or 0.783 feet.
Step 1: Calculate the radius by dividing the diameter by 2.
r = 0.783 / 2 = 0.3915 feet
Step 2: Apply the volume formula.
V = (4/3) × π × 0.3915³
V = (4/3) × 3.14159 × 0.0599
V = 0.251 cubic feet
Therefore, a regulation basketball has a volume of approximately 0.251 cubic feet.
The Earth has an average radius of approximately 3,959 miles (20,902,752 feet).
Step 1: Apply the volume formula.
V = (4/3) × π × 20,902,752³
V = (4/3) × 3.14159 × 9.113 × 10²³
V = 3.82 × 10²⁴ cubic feet
Therefore, the Earth has a volume of approximately 3.82 × 10²⁴ cubic feet.
Common Sphere Volumes
Below is a table of common spherical objects and their approximate volumes in cubic feet:
| Object | Radius (feet) | Volume (cubic feet) |
|---|---|---|
| Golf Ball | 0.07 | 0.0014 |
| Tennis Ball | 0.11 | 0.0055 |
| Baseball | 0.12 | 0.0072 |
| Soccer Ball | 0.36 | 0.1955 |
| Basketball | 0.39 | 0.2485 |
| Beach Ball (typical) | 1.0 | 4.1888 |
| Hot Air Balloon (average) | 30 | 113,097 |
Multiple Calculation Methods
Calculate sphere volume from radius, diameter, or circumference with our versatile calculator.
Interactive 3D Visualization
See your sphere in 3D with our interactive visualization tool that helps you understand spatial dimensions.
Instant Unit Conversion
Automatically convert your results to multiple units like cubic inches, meters, yards, gallons, and liters.
Applications of Sphere Volume Calculations
Understanding the volume of spheres is important in many fields:
- Engineering: Designing spherical tanks, domes, and containers
- Architecture: Planning spherical or dome-shaped structures
- Science: Calculating volumes of planets, stars,
- Science: Calculating volumes of planets, stars, and celestial bodies
- Manufacturing: Determining material requirements for spherical objects
- Sports: Designing and testing balls of various sizes
- Education: Teaching mathematical concepts of 3D geometry
Why Calculate Volume in Cubic Feet?
Cubic feet is a common unit of volume measurement in many fields:
- Construction and Architecture: Building materials, room spaces, and structural elements are often measured in cubic feet
- Shipping and Storage: Cargo volumes are frequently calculated in cubic feet
- HVAC Systems: Air volume calculations for heating and cooling systems
- Landscaping: Soil, mulch, and other materials are sold by cubic foot measurements
Related Volume Calculators
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Cubic Feet to Cubic Yards
Convert cubic feet to cubic yards for construction and landscaping projects.
Cubic Feet to Liters
Convert cubic feet to metric liters for liquid volume measurements.
Cubic Feet to Gallons (US)
Convert cubic feet to US gallons for water tanks and container sizing.
Cubic Feet to Gallons (UK)
Convert cubic feet to Imperial gallons used in the UK and Commonwealth.
Volume of a Cube
Calculate the volume of a cube based on its side length in feet.
Volume of a Rectangular Prism
Calculate the volume of a rectangular prism using length, width, and height.
Volume of a Cylinder
Calculate cylinder volume from radius and height measurements in feet.
Volume of a Sphere
Calculate the volume of a sphere based on its radius in feet.