DiscretizeRegion

Questions
1

The DiscretizeRegion function works for the cone below.
sr = ParametricRegion[{h Cos[x], h Sin[x], h}, {{x, 0, 2 [Pi]}, {h, 0, 3}}];
DiscretizeRegion[sr]

However, does not work for the cylinder below. Does anyone have any tips?
sr1 = ParametricRegion[{2 Cos[x], 2 Sin[x], h}, {{x, 0, 2 [Pi]}, {h, 0, 3}}];
DiscretizeRegion[sr1]
DiscretizeRegion::drf: DiscretizeRegion was unable to discretize the region ParametricRegion[<<2>>]. >>
Sincerely,
Sinval

2

DiscretizeRegion has many shortcomings. At the moment (Mma 10.2) it fails even for some plain spheres, as in

DiscretizeRegion[Sphere[{2, 0, 0}, 1/2]]

Let’s hope it improves with later versions.