Are you doing any volunteer work?

How about your friends?

1. Yes, I am. They are doing volunteer work, too.

2. Yes, I do. They do volunteer work, too.

(Which answer is right?)

#1 is better answering the question "Are you" which is using the verb "to be" so "I am" is better.

Sra

Both answers can be considered correct, as they both convey the same meaning. The only difference lies in the structure of the sentences.

In the first answer, "Yes, I am" refers to your own volunteer work, and "They are doing volunteer work, too" refers to your friends' volunteer work.

In the second answer, "Yes, I do" implies that you also do volunteer work, and "They do volunteer work, too" again refers to your friends' volunteer work.

So, it ultimately depends on your preference and the structure you prefer to use in your response.