Is the Gravity Term Correct in Buoyancy Calculations?

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Homework Statement



[PLAIN]http://img6.imageshack.us/img6/5054/35229868.png

Homework Equations


The Attempt at a Solution



[PLAIN]http://img600.imageshack.us/img600/5296/scan0002zw.jpg

I've attached my solution to the problem. The only thing that's bothering me here is the gravity term in the answer. It all stems from the buoyancy term which is the weight of the displaced water with is m*g. Can somebody give me some insight on whether this is right or not and where I made a mistake.
 
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Your answer is right.
 
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