Put ice cream in a large bowl. Rinse and dry the circular ice-cream container. Line the inside of the container with a gallon-size freezer-weight resealable plastic bag, pulling the top of the bag over the sides.

Add remaining ingredients except the sprinkles to the ice cream, mix together and scoop back into the bag-lined container. until the ice cream sets, about 2 hours.

Remove log from container and bag. Roll log in sprinkles, place on serving plate, and cut into 10 slices.