Get all the Application Pools which are stopped in the SharePoint 2010 Farm (Using PowerShell)

# Get all the application pools stopped in the SharePoint 2010 farm
function GetAppPoolStatusFarm
{
   
    foreach ($server in (Get-SPServer | Where {$_.Role -ne "Invalid"}) )
    {
        $apppool = Get-WmiObject -Namespace root\MicrosoftIISv2 -Class IIsApplicationPoolSetting -ComputerName $server.name -Authentication 6 | Where { $_.AppPoolState -eq '4'} | select name
       
        if ($apppool -eq $null) {
            Write-Host "No app pools are stopped on server $($server.Name)" -foregroundcolor green
            continue
        }
        else
        { 
            foreach ($appObj in $apppool)
             {
                  $app = $appObj | Out-String
               $apppoolname = $app.Substring($app.LastIndexOf('/') + 1,($app.Length-$app.LastIndexOf('/'))-1).Trim()
                 
                  if($apppoolname -eq 'SharePoint Web Services Root')
                  {
                      Write-Host "App Pool '$($apppoolname)' is stopped on server $($server.Name)" -foregroundcolor yellow
                  }
                  else
                  {
                    Write-Host "App Pool '$($apppoolname)' is stopped on server $($server.Name)" -foregroundcolor red
                  }
             }
        }
      
    }  
}

Example