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anonymous
 one year ago
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
(188√2)π
8π
12π
No idea how to do this, any help is appreciated thanks!
anonymous
 one year ago
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 (188√2)π 8π 12π No idea how to do this, any help is appreciated thanks!

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dan815
 one year ago
Best ResponseYou've already chosen the best response.4you should probably draw these rectangles vertically so u can integrate wrt to x and your integral looks better

dan815
 one year ago
Best ResponseYou've already chosen the best response.4each of those rectangles gives u a mini ring

dan815
 one year ago
Best ResponseYou've already chosen the best response.4you add the volume of all the mini rings

dan815
 one year ago
Best ResponseYou've already chosen the best response.4i 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
 one year ago
Best ResponseYou've already chosen the best response.4you can cut this thing somewhere and it will look just like a 3D volume thing like this

dan815
 one year ago
Best ResponseYou've already chosen the best response.4where the height of this thing is 2pir

dan815
 one year ago
Best ResponseYou've already chosen the best response.4thats kind of cool actually

dan815
 one year ago
Best ResponseYou've already chosen the best response.4here is something interesting

dan815
 one year ago
Best ResponseYou've already chosen the best response.4a trinagle volume rotated must be equal to some rectangle rotated, where the height of the rectangle is the average height of the triangle
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