1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Can some 1 do this

  1. Apr 7, 2005 #1
    Find the volume of the solid formed with a base bounded by y = (x^2)-2 and y=4 filled with squares that are perpendicualr to the x-axis.
  2. jcsd
  3. Apr 7, 2005 #2
    .....i think you can find that area using simpson's rule , you can thus proceed to find the volume using the maximum height............yeah i think that should work....
  4. Apr 9, 2005 #3
    It's really not necessary to use Simpson's Rule. Find an volume by cross-section. In order to do that, you need to develop an equation for the area, in this case a square. By the equations you gave, the length of one side of the square would be [tex]4-[(x^2)-2][/tex]. Since the cross-sections are perpendicular to the x axis. You can leave the function as is since it is already in terms of x. So the formula for volume by cross-sections is

    [tex]\int^a_b A(x)\delta x[/tex]

    so after finding your a and b, (set the equations equal to each other)

    you get the [tex]\int^2_{-2} {4-[x^2-2)]}^2 \delta x=16[/tex]
    Last edited: Apr 9, 2005
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Can some 1 do this