Assuming you're uploading the blobs into blob storage using .Net storage client library by creating an instance of CloudBlockBlob, you can get the URL of the blob by reading Uriproperty of the blob.
static void BlobUrl()
{
var account = new CloudStorageAccount(new StorageCredentials(accountName, accountKey), true);
var cloudBlobClient = account.CreateCloudBlobClient();
var container = cloudBlobClient.GetContainerReference("container-name");
var blob = container.GetBlockBlobReference("image.png");
blob.UploadFromFile("File Path ....");//Upload file....
var blobUrl = blob.Uri.AbsoluteUri;
}
View example on Pastebin
Hope this helps!!
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Thanks!!