Assuming you have the sql (ie. backup.sql) file on hand:
To create a backup of a mysql DB (ie. dumping it):
$ docker exec CONTAINER_NAME /usr/bin/mysqldump -u root --password=root DATABASE > backup.sql
To restore a mysql dump (for example):
$ cat backup.sql | docker exec -i CONTAINER_NAME /usr/bin/mysql -u root --password=root DATABASE
Add the --force or -f flag to ignore errors
$ cat backup.sql | docker exec -i CONTAINER_NAME /usr/bin/mysql -u root --password=root --force DATABASE
I tested this using the mysql 8.0 image.
ref: https://stackoverflow.com/questions/46579381/how-to-restore-mysql-dump-from-host-to-docker-container