Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Unam

  • 3 years ago

Find the volume of the solid obtained by rotating the region bounded by x=8 y^2, y = 1, x = 0, about the y-axis. a) 8 y^2=0, x=0, how can I solve this when its like this, I mean there's no other x values so i can use the (0, ?)∫. I'm using this V = π ∫ f(x)² dx {a,b}

  • This Question is Closed
  1. Unam
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1351976086595:dw|

  2. klimenkov
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1351976458012:dw|

  3. Unam
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What's the graph between? 0 to 8 or 0 to 1?

  4. klimenkov
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You can't use this formula in this case.

  5. Unam
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh ok...

  6. klimenkov
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1351976777364:dw| And now you can. Calculate this integral and it will be the volume.

  7. Unam
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks so down we... v= π (0,1) ∫(8x^2)^2 dx-(8-x)^2π?

  8. Unam
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    don't*

  9. klimenkov
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Can't understand you, just calculate the integral I've written. And it will be the volume. Can you do this?

  10. Unam
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    sorry, yup i can

  11. klimenkov
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You can type the result and I will check it.

  12. Unam
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok :)

  13. Unam
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    64π/5?

  14. klimenkov
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes. That's correct.

  15. Unam
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh thanks so much!

  16. Unam
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so I just use 1 and 0 for ∫?

  17. Unam
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1351977717019:dw|

  18. Unam
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i know how i get 0 but not sure about 1, we use the graph right? cos its not between 0 and 1?

  19. klimenkov
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You need to understand how the formula is built to get how to solve this problem. I just switch x and y, so you can use your formula.

  20. Unam
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ah ok

  21. klimenkov
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    If you will rotate the area on my second figure about x-axes you will get the volume i drew on the first figure. Got it?

  22. Unam
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    YEs!!!

  23. Unam
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks much Klim!!

  24. klimenkov
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No problems.

  25. 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