Switch Star on the Island
From the Super Mario Wiki, the Mario encyclopedia
The player must be able to get inside the cave, likewise as they did in Wiggler's Red Coins. There are several methods to get inside the cave. One method requires the cannon to be open. If it is not open, talking to the Bob-omb Buddy where the cannon would be located on the tiny island will open it. On the huge island, the player needs to use the cannon to blast to a tree on the cliffside. Once up there, the player has to cross a narrow bridge, which is slightly larger in the DS version, to reach the opening into the cave.
In the cave on the large platform to the left of the entrance is the Star Switch, with the Star Sphere on the opposite end of the cave on top of one of the pillars. Once the switch is pressed, the Power Star will appear in the Star Sphere. In order to reach it in time, Mario has to run to the pillars and use his wall jump between them. The player can also jump and climb on the grate to reach the sphere if they are fast enough.
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