A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 5 years ago

Consider the following graph: http://i55.tinypic.com/288nvpz.gif a=4 and b=5 Refer to the figure and find the volume V generated by rotating the region R1 about the line AB.

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

    R1 is region bounded by y = 4x^5, y=0, and x=1 Rotating around vertical axis x=1 means we will look at horizontal cross-sections which are circular with radius that is x-distance from 4x^5 and x=1 Also we will integrate w/ respect to y since each horizontal cross-section has height of dy get x in terms of y y=4x^5 --> x = (y/4)^1/5 radius = 1 - (y/4)^1/5 V = pi*integral 0-4 R^2 dy R^2 = (1-(y/4)^1/5)^2 = 1-2(y/4)^1/5 +(y/4)^2/5 \[V = \pi \int\limits_{0}^{4}(y/4)^{2/5} -2(y/4)^{1/5}+1 dy\] u=y/4 ---> du =dy/4 -->4du = dy \[V = 4\pi \int\limits_{0}^{4}u ^{2/5} - 2u ^{1/5}+1 du \] \[V=4\pi |_{0}^{4} \left( 5/7(y/4) ^{7/5}- 5/3(y/4) ^{6/5} +y/4 \right)\] \[V =4\pi/21\]

  2. 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...


  • 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.