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Omission error:

The cork is a sphere.

Maybe that will be of some help.  Thanks again.


2x - 6x + 1.92 = 0
x ≅ -0.52, 2.88, 0.64
-0.52 is an extraneous solution, so x = 2.88 inches or 0.64 inches

Cork is less dense than water, so it cannot be completely submerged.
Since the diameter of the cork is 2 inches, x ≤ 2 inches. Therefore, x = 0.64 inches.

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