Grammar question about [sentence]のに


I was asked by my teacher to read a kid friendly manga, something easy to
start with.

I am not having issue with the vocabulary and I understand the general gist of
a sentence but I am having issue with "why" is the sentence constructed that
way.

> そういえばほかのボールがどこにあるかもわからないのにどうやって探すんだ？

So what I get from this is :

> Come to think of it how are we going to find the place, that I don't know,
> where the ball is.

But I am a bit confused grammar-wise with two things :

> ある **かも**

and

> わからない **のに**

These are my best guesses :

ある **かも** -> か is to show that the character is asking where is the place of
the ball

も is used here to say the character doesn't know **anything** about it

わからないのに -> に say that the previous part of the sentence is **where** they need
to look

の I really have no idea why a no would be here

Thank you for your help !




The sentence can be roughly divided into three parts:

> そういえば、｛ほかのボールがどこにあるか｝もわからないのに、どうやって探すんだ？

  * そういえば is a common set phrase, "come to think of it", "as I recall."
  * ほかのボールがどこにあるか forms an [embedded question](https://japanese.stackexchange.com/q/13034/5010). "where the other balls are".
  * ～が分かる is "to know/understand ～".
  * The following も replaces が, and adds the nuance of "(not) even". See: [The meaning of 「尋ねられもしないこと」](https://japanese.stackexchange.com/q/34431/5010) and [How to say "even" in Japanese?](https://japanese.stackexchange.com/q/32201/5010)
  * のに is a common conjunction that means "although", "despite the fact that ～". See examples [here](http://www.jgram.org/pages/viewOne.php?tagE=noni).

> Come to think of it, how can we find (it) when we don't even know where the
> other balls are?

I don't know what exactly they are searching for from this context. Maybe they
are searching for something which is related to 'the other balls'.




The sentence can be roughly divided into three parts:

> そういえば、｛ほかのボールがどこにあるか｝もわからないのに、どうやって探すんだ？

  * そういえば is a common set phrase, "come to think of it", "as I recall."
  * ほかのボールがどこにあるか forms an [embedded question](https://japanese.stackexchange.com/q/13034/5010). "where the other balls are".
  * ～が分かる is "to know/understand ～".
  * The following も replaces が, and adds the nuance of "(not) even". See: [The meaning of 「尋ねられもしないこと」](https://japanese.stackexchange.com/q/34431/5010) and [How to say "even" in Japanese?](https://japanese.stackexchange.com/q/32201/5010)
  * のに is a common conjunction that means "although", "despite the fact that ～". See examples [here](http://www.jgram.org/pages/viewOne.php?tagE=noni).

> Come to think of it, how can we find (it) when we don't even know where the
> other balls are?

I don't know what exactly they are searching for from this context. Maybe they
are searching for something which is related to 'the other balls'.

