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Thread: volume bounded by different region

  1. #1
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    volume bounded by different region

    Well , i have 2 questions here :
    part a :
    I'm asked to find the volume bounded by plane y +z = 1 , y = (x^2) , xy plane and yz plane

    part b :

    I'm asked to find the volume bounded by plane y +z = 1 , y = (x^2) ,and z = 0 ...

    the ans given for part a is 4/15 , for part b is 8/15

    However , i cant imagine the solid bounded by the region in part b ....

    For part a , i suspect the ans is wrong ... volume bounded by different region-img_20160911_165510.jpg
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  2. #2
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    Re: volume bounded by different region

    for part (a)

    $\displaystyle y$ from $\displaystyle x^2$ to $\displaystyle 1$

    for part (b)

    x from -1 to 1
    Thanks from xl5899
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  3. #3
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    Re: volume bounded by different region

    Quote Originally Posted by Idea View Post
    for part (a)

    $\displaystyle y$ from $\displaystyle x^2$ to $\displaystyle 1$

    for part (b)

    x from -1 to 1
    Is there anything wrong with the diagram ?
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  4. #4
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    Re: volume bounded by different region

    Quote Originally Posted by Idea View Post
    for part (a)

    $\displaystyle y$ from $\displaystyle x^2$ to $\displaystyle 1$

    for part (b)

    x from -1 to 1
    do you mean for part b , the diagram look like this ? We have to draw the plane y +z = 1, first , then form the tip , join them to x = 1 and x = -1 ?
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    Re: volume bounded by different region

    Quote Originally Posted by xl5899 View Post
    do you mean for part b , the diagram look like this ? We have to draw the plane y +z = 1, first , then form the tip , join them to x = 1 and x = -1 ?
    volume bounded by different region-dsc_0009.jpg

    If so, I only get 7/15, not 8/15
    Last edited by xl5899; Sep 11th 2016 at 05:53 AM.
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  6. #6
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    Re: volume bounded by different region

    the diagram looks OK. answer should be 8/15
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  7. #7
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    Re: volume bounded by different region

    Quote Originally Posted by Idea View Post
    the diagram looks OK. answer should be 8/15
    Can you show ur working? I tried to calculate manually and using Calc, but get 7/15....
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  8. #8
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    Re: volume bounded by different region

    $\displaystyle y$ from $\displaystyle x^2$ to $\displaystyle 1$
    Thanks from xl5899
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