Formel volumen b = Breite, l = Länge, h = Höhe. 1 r = Radius, h = Höhe. 2 V = 1 3 ⋅ π ⋅ r 3 ⋅ h. 3 G = Grundfläche, h = Höhe. 4 Volume circular cylinder = (Area circle) ⋅ (height) = (π ⋅ (radius) 2) ⋅ (height) = π r 2 h \begin{aligned} \text{Volume}_{\text{circular cylinder}}&=(\blueE{\text{Area}_{\text{circle}}})\cdot (\maroonD{\text{height}})\\\\ &=(\blueE{\pi \cdot (\text{radius})^2})\cdot (\maroonD{\text{height}})\\\\ &=\blueE{\pi r^2}\maroonD{h} \end. 5 Das Volumen (Rauminhalt) wird je Körper mit verschiedenen Formeln berechnet. Für einen Quader etwa gilt die Formel V = a * b * c. Das Volumen eines Würfels erhält man mit V = a³. Um den Rauminhalt eines Kegels, einer Pyramide oder einer Kugel zu berechnet, benötigt man zudem die Höhe bzw. den Radius des Körper. 6 The volume of the Earth is approximately equal to ×10 12 km 3 ( trillion cubic kilometers), or ×10 11 cu mi ( billion cubic miles). You can get this result using the sphere volume formula (4/3) × π × radius 3 and assuming that the Earth's average radius is 6, kilometers (3, mi). 7 Volume is measured in "cubic" units. The volume of a figure is the number of cubes required to fill it completely, like blocks in a box. Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed. 8 cylinder_volume = π × (R² - r²) × cylinder_height. where R – external radius, and r – internal radius. Similarly, we can calculate the cylinder volume using the external diameter, D, and internal diameter, d, of a hollow cylinder with this formula: cylinder_volume = π × [(D² - d²)/4] × cylinder_height. 9 Volume is measured in "cubic" units. The volume of a figure is the number of cubes required to fill it completely, like blocks in a box. Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed. If a square has one side of 4 inches, the volume would be 4 inches times 4. formel volumen rechteck 10