Automatic merge from submit-queue (batch tested with PRs 42128, 42064, 42253, 42309, 42322)
Add storage.k8s.io/v1 API
This is combined version of reverted #40088 (first 4 commits) and #41646. The difference is that all controllers and tests use old `storage.k8s.io/v1beta1` API so in theory all tests can pass on GKE.
Release note:
```release-note
StorageClassName attribute has been added to PersistentVolume and PersistentVolumeClaim objects and should be used instead of annotation `volume.beta.kubernetes.io/storage-class`. The beta annotation is still working in this release, however it will be removed in a future release.
```