How to show all categories even the categories dont have post?

Guys, i want to show all categories even the categories have no post. and if the categories have post it will also display the content of the post.

<?php $category = get_categories('hide_empty=0');
foreach($category as $cat){
echo $cat-> name;?>
<?php echo ''?>
<?php query_posts('cat=$cat');
while(have_posts()) : the_post();?>
<a>"><?php echo the_title();?></a>
<?php the_content();?>
<?php endwhile;
}?>

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this code will show all the categories but the problem is even if the post is not under the specific categories it will also display it under the categories. can anyone help me to edit this code. thanks