https://www.sitepoint.com/using-the-youtube-api-to-embed-video-in-an-android-app/
Not use Youtube API way:
Video
Youtube
No need use youtube api way:
Tutorial:
Webview
public static void watchYoutubeVideo(String id){
try{
Intent intent = new Intent(Intent.ACTION_VIEW, Uri.parse("vnd.youtube:" + id));
startActivity(intent);
}catch (ActivityNotFoundException ex){
Intent intent=new Intent(Intent.ACTION_VIEW,
Uri.parse("http://www.youtube.com/watch?v="+id));
startActivity(intent);
}
}