01 - Combine smoked paprika, garlic powder, onion powder, kosher salt, black pepper, and chili powder in a small bowl. Mix until evenly blended.
02 - Pat the chuck roast dry and rub the spice mixture evenly over all surfaces, pressing gently to adhere.
03 - Set the seasoned roast in the slow cooker insert, fat side up.
04 - Whisk together barbecue sauce, beef broth, apple cider vinegar, brown sugar, and Worcestershire sauce in a mixing bowl until the sugar dissolves and the mixture is smooth.
05 - Pour the sauce evenly over the seasoned roast. Cover the slow cooker and cook on low for 8 hours, or until the beef is fork-tender and pulls apart with minimal effort.
06 - Transfer the roast to a cutting board and shred using two forks, discarding any large pieces of fat. Return the shredded beef to the slow cooker and stir thoroughly to coat every strand in the sauce.
07 - Pile the pulled beef generously onto burger buns and top with coleslaw, or serve over rice as desired.