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Dido525

  • 2 years ago

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

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  1. Dido525
    • 2 years ago
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    I realize I am Integrating with respect to y since the semicircles are perpendicular to the y-axis. I found the intersection points to be from -2 to 2. Those are also the limits of integration. I am having trouble setting up the integral however.

  2. Dido525
    • 2 years ago
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    I also know that the area of a semicircle is:\[\frac{ \pi r^2 }{ 2 }\]

  3. Dido525
    • 2 years ago
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    @campbell_st @Hero @AravindG @Agent_Sniffles

  4. Dido525
    • 2 years ago
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    @precal

  5. precal
    • 2 years ago
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    I think if you draw it, it helps but this is not my strong point

  6. Dido525
    • 2 years ago
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    Ohh I forgot to mention since I am integrating with respect to y the limits of integration are from 0 to 4 sorry.

  7. precal
    • 2 years ago
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    still not my strong point

  8. Dido525
    • 2 years ago
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    Thanks anyways :) .

  9. Dido525
    • 2 years ago
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    |dw:1357612463086:dw|

  10. precal
    • 2 years ago
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    sorry I wish I could help @satellite73 can you help on this one?

  11. Dido525
    • 2 years ago
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    Don't worry about it. :) . I almost have it but I wonder if I can change the "r" in the semicircle to an x in someway/

  12. Dido525
    • 2 years ago
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    @hartnn

  13. Dido525
    • 2 years ago
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    Never mind. I got it.

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