A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

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 (18-8√2)π 8π 12π No idea how to do this, any help is appreciated thanks!

  • This Question is Open
  1. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    |dw:1435372707180:dw|

  2. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    |dw:1435372819291:dw|

  3. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    |dw:1435372964110:dw|

  4. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    |dw:1435373065795:dw|

  5. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    does this make sense?

  6. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    you should probably draw these rectangles vertically so u can integrate wrt to x and your integral looks better

  7. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    |dw:1435373229140:dw|

  8. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    |dw:1435373284845:dw|

  9. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    each of those rectangles gives u a mini ring

  10. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    you add the volume of all the mini rings

  11. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    solve it

  12. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    you there @sun__chips

  13. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    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

  14. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    |dw:1435373637040:dw|

  15. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    you can cut this thing somewhere and it will look just like a 3D volume thing like this

  16. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    |dw:1435373725195:dw|

  17. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    where the height of this thing is 2pir

  18. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    |dw:1435373793422:dw|

  19. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    thats kind of cool actually

  20. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    here is something interesting

  21. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    a trinagle volume rotated must be equal to some rectangle rotated, where the height of the rectangle is the average height of the triangle

  22. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    |dw:1435373966303:dw|

  23. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.