Sphere Calculator
Calculate volume, surface area, diameter, and other properties of a sphere
Calculate Sphere Properties
Enter a positive value to calculate all sphere properties
Example Calculation
Given: Sphere with radius r = 5 units
Volume: V = (4/3)π(5)³ = (4/3)π(125) = 523.6 cubic units
Surface Area: A = 4π(5)² = 4π(25) = 314.2 square units
Diameter: d = 2(5) = 10 units
Sphere Properties
Volume
Space inside the sphere
Formula: V = (4/3)πr³
Surface Area
Total surface of the sphere
Formula: A = 4πr²
Diameter
Distance across center
Formula: d = 2r
Sphere Facts
A sphere has the smallest surface area for a given volume
Every point on the surface is equidistant from the center
Surface to volume ratio = 3/r
Volume grows with the cube of radius
Understanding Spheres
What is a Sphere?
A sphere is a perfectly round three-dimensional object where every point on the surface is equidistant from the center. It's the 3D equivalent of a circle and represents the most efficient shape for enclosing volume with minimum surface area.
Key Properties
- •Radius (r): Distance from center to surface
- •Diameter (d): Distance across through center (d = 2r)
- •Great Circle: Largest possible circle on the sphere
- •Surface Area: Total area of the curved surface
Sphere Formulas
Volume: V = (4/3)πr³
Surface Area: A = 4πr²
Diameter: d = 2r
Circumference: C = 2πr
Real-World Applications
- •Calculating Earth's volume and surface area
- •Designing spherical tanks and containers
- •Sports ball specifications and manufacturing
- •Astronomical calculations for planets and stars