01 - Combine smoked paprika, garlic powder, onion powder, kosher salt, black pepper, and chili powder in a small bowl. Mix thoroughly, then rub the seasoning blend evenly over all surfaces of the chuck roast.
02 - Set the seasoned chuck roast in the bottom of the slow cooker insert.
03 - In a mixing bowl, whisk together the barbecue sauce, beef broth, apple cider vinegar, brown sugar, and Worcestershire sauce until smooth and well blended. Pour the sauce evenly over the seasoned roast.
04 - Cover the slow cooker and cook on the low setting for 8 hours, or until the beef is fork-tender and pulls apart with minimal effort.
05 - Carefully remove the roast from the slow cooker and transfer to a large cutting board. Shred the beef using two forks, discarding any large pieces of fat. Return the shredded meat to the slow cooker and stir gently to coat every strand in the sauce.
06 - Pile the saucy pulled beef generously onto burger buns and top with coleslaw, or serve over rice as desired.