anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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.
anonymous
  • anonymous
I also know that the area of a semicircle is:\[\frac{ \pi r^2 }{ 2 }\]
anonymous
  • anonymous
@campbell_st @Hero @AravindG @Agent_Sniffles

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anonymous
  • anonymous
@precal
precal
  • precal
I think if you draw it, it helps but this is not my strong point
anonymous
  • anonymous
Ohh I forgot to mention since I am integrating with respect to y the limits of integration are from 0 to 4 sorry.
precal
  • precal
still not my strong point
anonymous
  • anonymous
Thanks anyways :) .
anonymous
  • anonymous
|dw:1357612463086:dw|
precal
  • precal
sorry I wish I could help @satellite73 can you help on this one?
anonymous
  • anonymous
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/
anonymous
  • anonymous
@hartnn
anonymous
  • anonymous
Never mind. I got it.

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