Solid bounded by different region

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    Bounded Solid
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SUMMARY

The discussion focuses on evaluating the volume of a solid bounded above by the sphere defined by the equation (x²) + (y²) + (z²) = 9 and laterally by the cylinder defined by (x²) + (y²) = 4x. Participants clarify that the solid is indeed located below the sphere, and they emphasize the importance of accurately sketching the intersection of these two shapes in the xy-plane to understand the volume calculation. The correct setup involves using cylindrical coordinates and integrating over the defined region.

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  • #31
I think you need some face-to-face time with your teacher. I gather that English isn't your first language, but still, you don't seem to be understanding anything we are trying to tell you.
 
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  • #32
LCKurtz said:
I think you need some face-to-face time with your teacher. I gather that English isn't your first language, but still, you don't seem to be understanding anything we are trying to tell you.
I agree completely. We are more than 30 posts into this problem, and you still don't understand what the solid looks like, despite multiple graphs and explanations from LCKurtz and me.
 
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  • #33
LCKurtz said:
I think you need some face-to-face time with your teacher. I gather that English isn't your first language, but still, you don't seem to be understanding anything we are trying to tell you.
sorry , after looking it carefully ,the solid formed is the red part ? (refer to the attachment)
So , the red part represent the projection to xy plane ?
 

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  • #34
here's my latest working . I use xy plane projection
 

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  • #35
You have errors in your work. But you are supposed to do it in cylindrical coordinates anyway. You need ##dz,~dr,~d\theta## variables in your integrals.
 

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