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anonymous

  • 5 years ago

Consider the given curves to do the following. x=4sqrt(y) x = 0 y = 1 Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis.

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  1. anonymous
    • 5 years ago
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    Draw a diagram to visualize the problem.

  2. anonymous
    • 5 years ago
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    i put it so that its in x terms. so its y = (x^2)/16. am i able to do that?

  3. anonymous
    • 5 years ago
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    Yes you can

  4. anonymous
    • 5 years ago
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    \[2\pi \int\limits_{0}^{1}y(4y^(1/2))dy\]

  5. anonymous
    • 5 years ago
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    sorry its suppose to be 4y^1/2

  6. anonymous
    • 5 years ago
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    is that set up correctly?

  7. anonymous
    • 5 years ago
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    Let me calculate.

  8. anonymous
    • 5 years ago
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    Sorry, had to take a call. This has a little space between the function and x axis.

  9. anonymous
    • 5 years ago
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    its okay. and yeah it does

  10. anonymous
    • 5 years ago
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    How did you determine the boundary of 1?

  11. anonymous
    • 5 years ago
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    o, oops i think i got it confused for the y=0

  12. anonymous
    • 5 years ago
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    how do you determine the boundary for this integral?

  13. anonymous
    • 5 years ago
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    o wait sorry

  14. anonymous
    • 5 years ago
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    If given freedom you would use washer technique. Instructions call for cylindrical shells, I think, check on this\[\int\limits_{0}^{4}2\pi(1-4\sqrt{y})4\sqrt{y}\]

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