The -(으)ㄹ까요? ending is used to indicate a speaker’s wondering mindset and/or to seek the listener’s opinion.
To make the ending polite one can add 요 to the ending,
as in -(으)ㄹ까요? The ending -(으)ㄹ까요? is a three form verb ending:
-을까요? is used with the stem that ends in a consonant as in 먹을까요? and ㄹ까? is used with the stem that ends in a vowel as in 갈까요? With the ㄹ-irregular predicates, -까요? is used, as in 알까요?