anonymous
  • anonymous
Use the shell method to find the volume of the solid generated by revolving  about the y-axis. x=sqrt(9-x^2) and x=0
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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Callisto
  • Callisto
The equation should be\[y =\sqrt{9-x^2}\]?
Callisto
  • Callisto
Assume the equation of the line is \(y=\sqrt{9-x^2}\) Domain of the function: [-3, 3] So, integrate from x=0 to x=3 \[V=\int_0^3 2\pi xf(x) dx = 2\pi \int_0^3 x\sqrt{9-x^2} dx=...\]
RadEn
  • RadEn
if revolving about the y-axis, the integration should forward dy so, v=pi*int((f(y))^2 dy [y1,y2] with y1 and y2 are under interval and up interval respectively

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Callisto
  • Callisto
Shell method.... about y-axis => dx See this: http://mathworld.wolfram.com/MethodofShells.html
Callisto
  • Callisto
@RadEn Yours is disc method, I think
RadEn
  • RadEn
yea, sorry i knew just new about the sell methode, @Callisto... sorry again :)
Callisto
  • Callisto
It's okay, don't worry :)

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