Sentence difference

The first sentence is incorrect, the second is correct.

The correct use of "interested to know" is in a future situation:
I would be interested to know more about the situation.

Thanks. But I am surprised to hear that the first one is incorrect.

How about: I am interested to hear about the situation.

Would that also require 'would be'?

I personally don't see that it is required.

If you are talking in the present, I would use "interested in hearing."
In the past, you could say:
I was interested to hear about the situation.
Or the future:
I would be interested to hear about the situation.

I see. What about if I say: I would like to hear about the situation.

Would that be correct?

Yes it would.

Thank you. What about: I would be interested in hearing about the situation.

Is that the same as 'interested to hear'?

You can use the ING form with any tense of "interested in"

I am interested in hearing about that.
I was interested in hearing about that.
I would be interested in hearing about that.

This, to me, is the preferred form.

The TO form is awkward and questionable with "interested"
I am interested to hear about that. (Definite NO).
I was interested to hear abou