The ash cloud spread out 300 * 18 = <<300*18=5400>>5400 feet in diameter.

The radius is half the diameter, so the ash cloud had a radius of 5400 / 2 = <<5400/2=2700>>2700 feet.

# Answer

2700
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A volcano erupts and spews ash into the sky. The ash cloud spreads out in a diameter eighteen times as far as the distance it shot up into the sky. If the ashes erupted three hundred feet into the sky, what was the radius of the ash cloud in feet?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2700
A volcano erupts and spews ash into the sky. The ash cloud spreads out in a diameter eighteen times as far as the distance it shot up into the sky. If the ashes erupted three hundred feet into the sky, what was the radius of the ash cloud in feet?
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