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Parametric Surfaces and their Areas

  1. Nov 8, 2011 #1
    1. The problem statement, all variables and given/known data

    Find the area of the part of the plane 3x + 5y + z = 15 that lies inside the cylinder x^2 + y^2 = 25.

    2. Relevant equations

    A=∫∫(√1+(dz/dx)^2+(dz/dy)^2) dA

    3. The attempt at a solution
    my bounds were r=0 to 5 and theta=0 to 2pi

    ∫∫√1 + (-3)^2 + (-5)^2 dA
    =∫∫√35 dA

    Is this right so far?
  2. jcsd
  3. Nov 8, 2011 #2


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    It's right so far.
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