I do not know how to delete a book on kindle paper white

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How to Delete Books from Kindle on iPhone iPad Plus Kindle Devices the...

To delete a book from the Paperwhite: 1) From Home, tap and hold the title of the Kindle content you want to delete. Bixillarla says: When you sync, it connects to the Amazon server and checks for any new items needing downloading and updating your book list.

You can permanently delete them on the Amazon website, not from the Kindle itself.
I don't understand why you'd want to, as there is a huge amount of room in the cloud for more books than you could ever read in a lifetime.

To remove a book or magazine from your Kindle Fire HD libraries, follow these steps:

1. On the Home screen, tap Books or Newsstand to display your library.
2. Locate and press your finger on the item you want to remove. A menu appears.
3. Tap Remove from Device press the helpful button

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go to your amazon acct and click on manage my devices

To delete books tap and hold the title of the book you wish to delete then select "remove from device."

Alternately you can delete them from your Kindle account in your online settings and then they will be removed from the device the next time you sync but that may permanently delete the item from your collection.

On the home screen, tap and hold the book until a menu pops up, then select the delete option.

On the Kindle home screen, tap and hold the book until a menu pops up, then select "Delete."