Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

jennilalala

  • 2 years ago

Use the shell method to find the volume of the solid generated by revolving about the y-axis. x=sqrt(9-x^2) and x=0

  • This Question is Closed
  1. Callisto
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    The equation should be\[y =\sqrt{9-x^2}\]?

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

    Assume the equation of the line is \(y=\sqrt{9-x^2}\) Domain of the function: [-3, 3] So, integrate from x=0 to x=3 \[V=\int_0^3 2\pi xf(x) dx = 2\pi \int_0^3 x\sqrt{9-x^2} dx=...\]

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

    if revolving about the y-axis, the integration should forward dy so, v=pi*int((f(y))^2 dy [y1,y2] with y1 and y2 are under interval and up interval respectively

  4. Callisto
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Shell method.... about y-axis => dx See this: http://mathworld.wolfram.com/MethodofShells.html

  5. Callisto
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    @RadEn Yours is disc method, I think

  6. RadEn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yea, sorry i knew just new about the sell methode, @Callisto... sorry again :)

  7. Callisto
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    It's okay, don't worry :)

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.