anonymous
  • anonymous
Find the volume of the solid generated by revolving the region bound by the graphs of the equations around the line x=5. y=5-x, y=0, y=4, x=0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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amistre64
  • amistre64
|dw:1326820967395:dw|
amistre64
  • amistre64
id shell it
anonymous
  • anonymous
What integral do I take for using discs though?

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amistre64
  • amistre64
disc is just using circles instead of cylindars;\[\int pi f(x)^2dx\]
amistre64
  • amistre64
but it might be best to set it up better, our radius is in the form \(f^{-1}(x)\) and there is an inner and outer radius to account for
amistre64
  • amistre64
y=5-x x=5-y x-5=-y x+5=y would be our radius function: or y+5=x might be a better notation
amistre64
  • amistre64
the outer radius is just "5" the inner radius is what we have to remove, right?
amistre64
  • amistre64
|dw:1326821336211:dw|
amistre64
  • amistre64
\[piR^2-pir^2\=pi(R^2-r^2)=Area. of. ring/]
amistre64
  • amistre64
\[pi R^2-pi r^2=pi(R^2-r^2)=Area. of. ring/]
amistre64
  • amistre64
dint format on my screen hmmm
amistre64
  • amistre64
since the radius is in terms of "x" values pi int(5^2 - (y+5)^2) dy, from 0 to 4 looks right

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