- #1
theBEAST
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Homework Statement
I have attached the question with a diagram and answer key.
The Attempt at a Solution
What I did was found the work needed to pump the water into the bottom half of the sphere from 90-100 and then add that to the work needed to pump the water into the top half of the sphere.
integral from 0 to 10 9800pi(100-x^2)(90+x) + integral from 0 to 10 9800pi(100-x^2)(100+x)
When I plug in my numbers using wolfram I get:
http://www.wolframalpha.com/input/?i=integrate+from+0+to+10+(9800pi(100-h^2)(190+2h))
Which is slightly off compared to what the answer key gets:
http://www.wolframalpha.com/input/?i=integrate+from+-10+to+10+(9800pi(100+x)(100-x^2)
Does anyone know why they would be different? I feel like my logic is correct...