anonymous
  • anonymous
A solid E lies within the cylinder x^2+y^2=1, below the plane z=4, and above the paraboloid z=2-x^2-y^2. The density of the solid is p(x,y,z)=sqrt(x^2+y^2). Calculate the mass of the solid.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
hmmm, debating between a triple integral and a double integral
anonymous
  • anonymous
i'm going with the triple integral since it's finding a mass
anonymous
  • anonymous
you have a graphing software?

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anonymous
  • anonymous
nope. I have the answer just not the work behind it. Im taking myself through some triple integral reviews to see if i can figure out how to do it.
anonymous
  • anonymous
let me graph this thing first
anonymous
  • anonymous
oh, this is fairly simple
anonymous
  • anonymous
it will be tripleintegral(sqrt(x^2+y^2))dzdydx the limits for dz is from z=2-x^2-y^2 to z=4 the limits for dy is from y=-sqrt(1-x^2) to y=sqrt(1-x^2) the limit for dx is from x=-1 to x=1
anonymous
  • anonymous
this is the picture of z=2-x^2+y^2
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anonymous
  • anonymous
That makes more sense. I think i should do some more examples before my final though lol.

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