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Check , Volumes for Calculus 1

  1. Jul 4, 2008 #1
    Check plz, Volumes for Calculus 1

    Been a while since I've done these type of problems, check plz!

    Volumes 1

    Volumes 2

    1. Find the volume of the solid generated by revolving the region about the y-axis:
    xy=5, x=0, y=1, y=3

    2. Find the volume of the solid generated by revolving the region about the x-axis:
    y=-7x+14, y=7x, x=0

    3. Find the volume of the solid generated by revolving the region about the y-axis:
    y=x^3, x=2, y=1

    4. Use the shell method to find the volume of the solid generated by revolving the region about the x-axis:
    y=7x^2, y=7sqrt(x)

    5. Find the volume of the solid generated by revolving the region about the y-axis:
    y=1/2(x-2)^2, y=2
     
    Last edited: Jul 4, 2008
  2. jcsd
  3. Jul 4, 2008 #2
    Re: Check plz, Volumes for Calculus 1

    Not sure about 2.

    Mistake on 4, 189pi/10.
     
  4. Jul 5, 2008 #3
    Re: Check plz, Volumes for Calculus 1

    5. 56pi/5

    Can I get help on this one.

    The base of a solid is a circular disc with radius 3. Find the volume of the solid if parallel cross-sections perpendicular to the base are isosceles triangles with the hypotenuse lying along the base.
     
  5. Jul 7, 2008 #4
    Re: Check plz, Volumes for Calculus 1

    isosceles triangles can have 3 equal sides. This is the angle I am trying to work, however, I keep getting 0 myself.
    What do you have so far?
     
  6. Jul 7, 2008 #5
    Re: Check plz, Volumes for Calculus 1

    y=(9-x^2)^1/2

    Area = (bh)/2
    = (9-x^2)/2
    ??
     
  7. Jul 7, 2008 #6
    Re: Check plz, Volumes for Calculus 1

    You're thinking equilateral triangles.

    I already corrected & solved all the problems though, thanks!
     
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