Sphere Calculator
Sphere is evaluated from Radius. The calculation reports Volume, Surface Area and Diameter.
Results
About the Sphere Calculator
The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.
Formula basis:
V = (4/3)pir^3: the sphere fills 2/3 of the circumscribed cylinder. SA = 4pir^2: equal to four times the area of a great circle.
Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.
Formula & How It Works
The calculation applies the following relations exactly as recorded in the metadata: V = (4/3)pir^3: the sphere fills 2/3 of the circumscribed cylinder. SA = 4pir^2: equal to four times the area of a great circle. Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.
Worked Examples
Example 1: Basketball (radius ≈ 4.7 inches)
Inputs
With Radius = 4.7 as the stated inputs, the result is Volume = 434.8928 cubic units, Surface Area = 277.5911 sq units and Diameter = 9.4 units. Each value corresponds to the declared output fields.
Example 2: Earth's mean radius (6,371 km)
Inputs
With Radius = 6,371 as the stated inputs, the result is Volume = 1,083,206,916,845.7535 cubic units, Surface Area = 510,064,471.9098 sq units and Diameter = 12,742 units. Each value corresponds to the declared output fields.
Example 3: Ping pong ball (radius = 20 mm)
Inputs
With Radius = 20 as the stated inputs, the result is Volume = 33,510.3216 cubic units, Surface Area = 5,026.5482 sq units and Diameter = 40 units. Each value corresponds to the declared output fields.
Example 4: Water tank (radius = 3 feet)
Inputs
With Radius = 3 as the stated inputs, the result is Volume = 113.0973 cubic units, Surface Area = 113.0973 sq units and Diameter = 6 units. Each value corresponds to the declared output fields.
Common Use Cases
- Calculate sphere volume from radius
- Find surface area of a sphere
- Compute diameter and circumference of sphere