r |
|
V=43πr3
Volume
r=3√3V4π
Radius
Stot=4πr2
Total surface
r=√Stot4π
Radius
A=πr2
Area
r=√Aπ
Radius
C=2πr
Circumference
r=C2π
Radius
d=2r
Diameter
r=d2
Radius
Definition
A sphere is a solid made up from all points with a distance equal or less than a costant distance, called radius of the sphere, from a fixed point, called center of the sphere.
Properties
- The sphere is a solid generated from the rotation of a semicircle around its diameter
- Radius: any segment that extends from the center of the sphere to a any point of the spherical surface
- Pi (symbol π) constant value approximated as π≃3.14
- All the Circle formulas are valid
Sphere Formulas
Data | Formula |
---|---|
Volume | V = 4/3 × π × r3 |
Radius | V = 3√[(3V) / (4π)] |
Total surface | Stot = 4 × π × r2 |
Radius | r = √[Slat / (4π)] |
Area | A = πr2 |
Radius | r = √(A / π) |
Circumference | C = 2πr |
Radius | r = C / (2π) |
Diameter | d = 2r |
Radius | r = d/2 |