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I want to incorporate snow golems into my mob grinders. How close does a hostile mob need to be in order for a snow golem to begin throwing snowballs?

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I tested this by making a hall in creative mode and blocking a zombie in a small chamber on one end and letting a snow golem go on the other. He ran forward until he was 10 blocks away and started pelting the zombie with snowballs until I quit the game.

an unaware zombie being pelted by a loyal test subject

For those that aren't clear, here's how I counted:

[G][-][-][-][-][-][-][-][-][-][Z]
[0][1][2][3][4][5][6][7][8][9][10]

Their sight seems to be 16, the same as most mobs. I made one 18 blocks away, and he couldn't see the zombie from there.

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    +1: This answer could only be better if you checker-boarded the hallway for an accurate visual measure by readers, if only to confirm whether you included the square the golem was standing on. :)
    – AlbeyAmakiir
    Commented Mar 9, 2012 at 5:54

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