You need to define what hosts you want to be handled by Tomcat application service. To do that select a domain from the drop-down box located in "Map a domain to private JVM".
This will create a definition inside server.xml and will deploy a default application WAR.
For each domain name docBase Directory is located at:
If you want your application to work at http://domain.name you have to rename your .war to ROOT.war and then deploy it.
Now you are ready to start the application server. All you need to do is just hit the start button.
And finally you need to redirect all traffic from Apache Web server for that domain to be handled by Tomcat application. To do that - navigate to "Mapped Domains" section and click on Enable/Disable check box.