I've recovered a couple of DVDs - either with scratches, either with protection - with IsoPuzzle. It's an old software, and it's free.
Depending on the settings it will go tougher or easier with DVD the reader device, so maybe you should start easy, e.g. with 1 minute on permanent failure and insist more only on your own risk.
But the disks I've recovered were recognized as disks. If your disk is not recognized at all... I don't know. But it may take you less than 5 minutes to see if this is a possible solution for you.
Good luck!
PS. OP, you may want to get your story right. I am 100% certain you didn't buy only 10 BTC at 3 cents a piece. That would be 30 cents for all what you've stored in the DVD. Changing the price to 0.3$ or 3$ could make sense, changing the amount to 100 or 1000 BTC would also make sense. But I highly doubt you bought only 30 cents worth of BTC.