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Finding Volume in Cylinder

  1. Sep 23, 2009 #1
    1. The problem statement, all variables and given/known data

    The problem is in Calculus Early Transcendentals by Stewart Ed.6th on page 448 problem #4.

    The question is about a cylinder that is tilted with a radius [tex] r [/tex] and a height [tex] L [/tex] is filled with water that cover the lower base and touch the edge of upper base. It asked to set it up in two ways to find its volume. First to slice it parallel in rectangular section. Second to slice it parallel in trapezoids section. I don't know how to set it up. ?

    I am also having trobule in part e, where the water is now covering half of the lower base but it still touches the edge of upper base. Now it asked me to slice it in triangle, rectangles, and segments of circles.

    2. Relevant equations

    Cylinder is tilted with radius of r and height of L.
    Volume of cylinder - [tex]\pi r^{2}L[/tex]

    An equation my instructor gives - [tex] x^{2} + y^{2} = r^{2} [/tex]

    [tex] 0 \leq z \leq L[/tex]

    3. The attempt at a solution

    No idea....
     
    Last edited: Sep 23, 2009
  2. jcsd
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