Formeln: Mathematik - Geometrie - Zylinder

Zylinder

Definitionen:

  • r: Radius
  • h: Höhe
  • A: Fläche
  • M: Mantelfläche
  • V: Volumen
Layer 1 h r V

Volumen eines Zylinders

\( {\color{blue} {V}} = \pi \times {{\color{red} {r} }}^{{2}} \times {\color{Orange} {h}} \)
V = Volumen
r = Radius
h = Höhe


Layer 1 h r M

Mantelfläche eines Zylinders

\( {\color{OliveGreen} {M}} = {2} \times \pi \times {\color{red} {r} } \times {\color{Orange} {h} } \)
M = Mantelfläche
r = Radius
h = Höhe


Layer 1 h r A

Oberfläche eines Zylinders

\( {\color{OliveGreen} {A}} = {2} \times \pi \times {\color{red} {r}} \times \left( {\color{red} {r}} + {\color{Orange} {h} } \right) \)
A = Fläche
r = Radius
r = Radius
h = Höhe