Results 1 to 2 of 2

Math Help - Volume by slicing

  1. #1
    Member Em Yeu Anh's Avatar
    Joined
    Nov 2009
    Posts
    94

    Question Volume by slicing

    I don't believe this is too difficult of a problem but it's been a very long time since I've studied volume of solids and I'm still having a lot of trouble with these questions, if someone could help me set up the integral for this one it would be awesome!

    Question: The base of the solid is the region between the x-axis and the parabola y=4-x^2. The vertical cross-sections of the solid perpendicular to the y-axis are semicircles. Compute the volume of the solid.

    I don't have a lot of work so far:
    Since the cross-sections are perpendicular to the y-axis I started out by stating this in terms of x.
    x=\sqrt{4-y} and x=-\sqrt{4-y}

    The graph then crosses the y-axis at y=4...would the limits be from y = 0 to y = 4?
    I am also stuck on determining what the radius of the semicircle cross-section would be.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Calculus26's Avatar
    Joined
    Mar 2009
    From
    Florida
    Posts
    1,271
    You have started correctly now just finish

    See attachment
    Attached Thumbnails Attached Thumbnails Volume by slicing-volume.jpg  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Slicing a parallelopipe
    Posted in the Geometry Forum
    Replies: 1
    Last Post: April 10th 2011, 02:29 AM
  2. Volume by Slicing help
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 13th 2011, 05:30 PM
  3. Volume By Slicing
    Posted in the Calculus Forum
    Replies: 2
    Last Post: August 4th 2010, 03:39 AM
  4. volumes by slicing
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 11th 2009, 02:50 AM
  5. Volumes by slicing
    Posted in the Calculus Forum
    Replies: 1
    Last Post: January 11th 2008, 05:59 PM

Search Tags


/mathhelpforum @mathhelpforum