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To find the height of the cylinder, we can use the formula for the volume of a cylinder:
Volume = base area x height
Given that the volume is 120 cm^3 and the base area is 150 cm^2, we can set up the equation:
120 = 150 x height
Now we can solve for the height:
height = 120 / 150
height = 0.8 cm
Therefore, the height of the cylinder is 0.8 cm.