A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

How do I set up the integral to find the volume of the disc bounded by the circle x^2+y^2 = 1 rotated about the line y = 2

  • This Question is Closed
  1. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you mean the volume of a torus?

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

    yes

  3. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    do you know an answer yet to check with? perhaps say 16pi?

  4. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1328034607713:dw|

  5. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if we do a washer type method, and if im right ... big if!! pi (R^2 - r^2) gives the area for any given washer cross section of this from angles 0 to pi/2 R = 2+cos(t) r= 2-cos(t) since that would be the top half we would have to double that result \[2*(pi\int_{0}^{pi/2}((2+cos(t))^2-(2-cos(t))^2)dt\]

  6. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it makes sense in my head, but other than that .... im sure theres other ways to determine it :)

  7. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that should simplify to: integral 8cos(t), which goes up to 8sin(t) 8sin(pi/2) - 8sin(0) = 8; *pi = 8pi doubles to 16pi

  8. amistre64
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    http://tutorial.math.lamar.edu/Classes/CalcI/MoreVolume.aspx might be a better way to go about it; near the bottom

  9. 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.