anonymous
  • anonymous
Suppose R is the region bounded by y = x^2, x = 2, and y = 0. A solid is generated by revolving R about the x = 3. Find the volume of the solid. 8/3π (18-8√2)π 8π 12π No idea how to do this, any help is appreciated thanks!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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dan815
  • dan815
|dw:1435372707180:dw|
dan815
  • dan815
|dw:1435372819291:dw|
dan815
  • dan815
|dw:1435372964110:dw|

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dan815
  • dan815
|dw:1435373065795:dw|
dan815
  • dan815
does this make sense?
dan815
  • dan815
you should probably draw these rectangles vertically so u can integrate wrt to x and your integral looks better
dan815
  • dan815
|dw:1435373229140:dw|
dan815
  • dan815
|dw:1435373284845:dw|
dan815
  • dan815
each of those rectangles gives u a mini ring
dan815
  • dan815
you add the volume of all the mini rings
dan815
  • dan815
solve it
dan815
  • dan815
you there @sun__chips
dan815
  • dan815
i hope the pictures didnt confuse you, the basic idea of what im doing is simple it just looks a bit confusing all written out like this, what we are doing is looking at each rectangle and revolving each one, around x=3 axis
dan815
  • dan815
|dw:1435373637040:dw|
dan815
  • dan815
you can cut this thing somewhere and it will look just like a 3D volume thing like this
dan815
  • dan815
|dw:1435373725195:dw|
dan815
  • dan815
where the height of this thing is 2pir
dan815
  • dan815
|dw:1435373793422:dw|
dan815
  • dan815
thats kind of cool actually
dan815
  • dan815
here is something interesting
dan815
  • dan815
a trinagle volume rotated must be equal to some rectangle rotated, where the height of the rectangle is the average height of the triangle
dan815
  • dan815
|dw:1435373966303:dw|

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