how plot this region $S=[1,2] \times[0, \dfrac{\pi}{2}] \times[0, \dfrac{\pi}{2}]$ in spherical coordinates?

Under the commands command,

{{ParametricPlot3D[FromSphericalCoordinates[{{{1,[{0, Pi},p/(2 Pi)], p}, {[Placeholder]}}}] // Evaluate, {p, 0, 2 Pi}]},{}}

but without success

  • 2
    $\begingroup$ This is basically one octant of a spherical shell, no? $\endgroup$ Apr 2 '18 at 11:31
  • $\begingroup$ I believe so. But as I'm starting to use mathematica now, I'm curious to try to plot the regions, and I could not $\endgroup$
    – Ilovemath
    Apr 2 '18 at 11:59
  • $\begingroup$ If all you want is that spherical shell section, there are much easier methods. For the general case: maybe try ParametricRegion[]? $\endgroup$ Apr 2 '18 at 12:49

Well, in this case it is very easy. No need to use ParametricPlot3D, as RegionPlot3D can do the job:

RegionPlot3D[1 < x^2 + y^2 + z^2 < 2^2, {x, 0, 2}, {y, 0, 2}, {z, 0, 2}, 
Mesh -> None]

enter image description here


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