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Aenn88

  • 2 years ago

Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. Find the volume of this solid. y^2=4x x=y I don't know how to start!

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  1. cwrw238
    • 2 years ago
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    the diagram looks something like this

  2. ZeHanz
    • 2 years ago
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    Always begin with a drawing, to see what is going on:

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  3. cwrw238
    • 2 years ago
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    |dw:1359323354480:dw|

  4. cwrw238
    • 2 years ago
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    very rough of course!!!!

  5. ZeHanz
    • 2 years ago
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    @cwrw238: Geogebra is your friend ;)

  6. ZeHanz
    • 2 years ago
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    @Aenn88: do you know the Shell method?

  7. cwrw238
    • 2 years ago
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    geogebra? i must try that

  8. Aenn88
    • 2 years ago
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    using cylindrical shells? i somewhat understand it in watching videos but I have a hard time applying it to another problem. i will use geogebra in the future! :)

  9. Aenn88
    • 2 years ago
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    @ZeHanz

  10. ZeHanz
    • 2 years ago
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    See geogebra.org. First , remember if y²=4x then y=√(4x). Here r is x, and h is the length of the vertical difference of the two graphs: Cylindrical shells:\[\int\limits_{0}^{4}2\pi r hdr=\int\limits_{0}^{4}2\pi x(\sqrt{4x}-x)dx\]

  11. Aenn88
    • 2 years ago
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    ok that makes sense..thank you

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