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Center of mass of a half-ball

 
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Nov12-06, 10:57 PM   #1
 
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Center of mass of a half-ball


Hi, I've been working on the following question for a little while. I've looked it over several times and I can't find any obvious (to me anyway) errors in my work. Would you please scan it through and let me know if I am correct or, if not, please guide me in the right direction so I can try again.

I have attached a scanned copy of the question and my work.

Thank you in advance,
-Zachary Lindsey
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Nov13-06, 06:12 AM   #2
 
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I don't see anything wrong with it.

(Except that you really don't need to integrate to find the volume of the hemisphere: it is (1/2)(4[itex]\pi[/itex])!)
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