Results 1 to 12 of 12

Thread: Integration to Find Volume of Wine Glass

  1. #1
    Newbie
    Joined
    Aug 2015
    From
    Australia
    Posts
    13

    Exclamation Integration to Find Volume of Wine Glass

    Hi,

    Is anyone able to help me with this problem? I don't know how to go about it.
    Integration to Find Volume of Wine Glass-9.-investigation-wine-glass-part-4-photo.png

    Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    6,577
    Thanks
    1711

    Re: Integration to Find Volume of Wine Glass

    Hey siddivi.

    Please show us your working. You need to come up with a function that defines the cross sectional length from the middle of the glass first.

    Try doing that and then use the formulas for volume integration by shells or discs.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2015
    From
    Australia
    Posts
    13

    Re: Integration to Find Volume of Wine Glass

    Hi chiro,
    How should I work out the function that defines the cross sectional length?
    Thanks,
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    6,577
    Thanks
    1711

    Re: Integration to Find Volume of Wine Glass

    That depends on the wine glass.

    You can either measure it directly at different intervals or you can make an assumption that its parabolic or something else.

    The thing though is that "curved" is pretty ambiguous.

    Either way you are going to have get the information by assumption or by measurement.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Aug 2015
    From
    Australia
    Posts
    13

    Re: Integration to Find Volume of Wine Glass

    What if there was more given information such as, "a curved shape defined by the function f(x)= sqrt(x)
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    6,577
    Thanks
    1711

    Re: Integration to Find Volume of Wine Glass

    That would be sufficient.

    You then need to know the interval used for integration and then you can figure out the volume.

    Have you covered the volume formulas for volume by shell and disc methods?
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Newbie
    Joined
    Aug 2015
    From
    Australia
    Posts
    13

    Re: Integration to Find Volume of Wine Glass

    We have looked at basic examples of the disc method. However, I don't know how to set out the algebra?
    Follow Math Help Forum on Facebook and Google+

  8. #8
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    6,577
    Thanks
    1711

    Re: Integration to Find Volume of Wine Glass

    You should start by stating the formula used.

    You will then have to define the function of rotation and the axis you want to rotate around with the limits of integration.

    See if you can post these bits of information in this thread and we can guide you as necessary.
    Follow Math Help Forum on Facebook and Google+

  9. #9
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    5,881
    Thanks
    2475

    Re: Integration to Find Volume of Wine Glass

    Quote Originally Posted by chiro View Post
    You should start by stating the formula used.

    You will then have to define the function of rotation and the axis you want to rotate around with the limits of integration.

    See if you can post these bits of information in this thread and we can guide you as necessary.
    he asked this question over in another forum as well I guess. I have him past this bit.
    Follow Math Help Forum on Facebook and Google+

  10. #10
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    6,577
    Thanks
    1711

    Re: Integration to Find Volume of Wine Glass

    OP you should try and have only one thread per question. Do you have the link to the other thread?
    Follow Math Help Forum on Facebook and Google+

  11. #11
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    5,881
    Thanks
    2475

    Re: Integration to Find Volume of Wine Glass

    Follow Math Help Forum on Facebook and Google+

  12. #12
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    11,071
    Thanks
    708
    Awards
    1

    Re: Integration to Find Volume of Wine Glass

    Due to continuity I can't really merge the two threads. The other one (romsek's link just above this one) has the most up to date posts.

    Thread closed.

    -Dan
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Volume of Wine Glass
    Posted in the Calculus Forum
    Replies: 10
    Last Post: Jul 18th 2017, 11:13 PM
  2. Integration to Find Volume of Wine Glass
    Posted in the Calculus Forum
    Replies: 7
    Last Post: Aug 25th 2015, 03:12 AM
  3. Replies: 1
    Last Post: Aug 4th 2012, 03:42 PM
  4. Vibration of a wine glass
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: Nov 23rd 2011, 09:32 PM
  5. [SOLVED] Model the Vibrations of Wine Glass; find the damping coefficient
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: Feb 10th 2011, 01:30 PM

Search Tags


/mathhelpforum @mathhelpforum