DrunkApple said:wait wait shouldn't it be
[itex]\int^{2\pi}_{0}[/itex][itex]\int^{2}_{0}[/itex][itex]\int^{8}_{0}[/itex](8-2[itex]r^{2}[/itex])r drdθ
DrunkApple said:oh so this is the final one then
[itex]\int^{2\pi}_{0}[/itex][itex]\int^{2}_{0}[/itex][itex]\int^{8-r^2}_{r^2}[/itex](8-2[itex]r^{2}[/itex])r dzdrdθ
Yes I forgot dz accidently but I knew that :p
DrunkApple said:How about [itex]\int^{2\pi}_{0}[/itex][itex]\int^{2}_{0}[/itex][itex]\int^{8}_{0}[/itex] rdzdrdθ
Cylindrical coordinates are a coordinate system used to locate points in three-dimensional space. It consists of a radial distance, an azimuthal angle, and a height or elevation angle.
In cylindrical coordinates, the radial distance is measured from the origin to the point, the azimuthal angle is measured from a reference direction in the xy-plane, and the height or elevation angle is measured from the xy-plane to the point.
The domain of cylindrical coordinates is all points in three-dimensional space that can be uniquely represented by a combination of the radial distance, azimuthal angle, and height or elevation angle.
Cylindrical coordinates use a different set of variables to locate points in three-dimensional space compared to Cartesian coordinates. While Cartesian coordinates use x, y, and z, cylindrical coordinates use r, θ, and z.
Cylindrical coordinates are particularly useful in situations where the geometry of a problem is cylindrical or has circular symmetry. They also simplify certain types of calculations, such as those involving rotational symmetry or cylindrical objects.