anonymous
  • anonymous
Find the area of the part of cylinder x^2 + y^2 = 2ay that lies outside the cone z^2 = x^2 + y^2.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
@TuringTest Hi do you know how to do this question? thx a lot!
TuringTest
  • TuringTest
I'm a little unsure I did this right, do you know the answer?
TuringTest
  • TuringTest
|dw:1352831101743:dw|convert this to polar coordinates

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anonymous
  • anonymous
@TuringTest the answer is 16a^2
anonymous
  • anonymous
i always got 8a^2, what i did is like using dS=zds and then use polar coordinates integrate from 0 to pi/2 and i got 4a^2 then multiply 2, so finally got 8a^2
anonymous
  • anonymous
and the graph for cylinder should be at the positive x axis
TuringTest
  • TuringTest
I seem to be messing this one up... I'll let you know if I make any progress.

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