There is no switch for the "hot air machine" in the volcano. Make your way step by step using the safe places when the air is not blowing.
There is a switch on the Robot Dragon's back. To reach it, you have to cross to the back using the chains, then throw the switch. You will only have a few seconds to shoot an ice arrow into the Dragon's open mouth. You will have to do this 3 times to beat the dragon.
you can do somting
You do not get or use a bucket on Astro Knights Island.
There is no treasure chest on Astro Knights Island.
you jump over it
There are no bird eggs in astro knights island.
No mines. But there is an underground chamber in Arturus. And the volcano passages are underground. (see related questions)
Sir peleas gives it to you at the bottom of the volcano cave. (see related question)
its on the island
How do you talk to the girl in the hay loft at astro knights island?
you just jump to the next one when you get near it!
Go ontop of the chains, then click the switch on the back of the dragon, then put the ice in the dragons mouth.
Go back in and pull it. The dungeon will not be guarded until you pull the switch and take the cheese.