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Dido525 Group Title

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.

  • one year ago
  • one year ago

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  1. Dido525 Group Title
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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.

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

    • one year ago
  3. Dido525 Group Title
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    @campbell_st @Hero @AravindG @Agent_Sniffles

    • one year ago
  4. Dido525 Group Title
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    @precal

    • one year ago
  5. precal Group Title
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    I think if you draw it, it helps but this is not my strong point

    • one year ago
  6. Dido525 Group Title
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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.

    • one year ago
  7. precal Group Title
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    still not my strong point

    • one year ago
  8. Dido525 Group Title
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    Thanks anyways :) .

    • one year ago
  9. Dido525 Group Title
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    |dw:1357612463086:dw|

    • one year ago
  10. precal Group Title
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    sorry I wish I could help @satellite73 can you help on this one?

    • one year ago
  11. Dido525 Group Title
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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/

    • one year ago
  12. Dido525 Group Title
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    @hartnn

    • one year ago
  13. Dido525 Group Title
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    Never mind. I got it.

    • one year ago
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