Use disk method to find the volume of the solid obtained when the region bounded by the curve y= cos x, 0
Use disk method to find the volume of the solid obtained when the region bounded by the curve y= cos x, 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
Need help with question attached in image...
![Use disk method to find the volume of the solid obtained when the region bounded
by the curve y= cos x, 0<x<r/2, and the x- axis is rotated about the x-axis.
(a) shade the region on the graph below
(b) Find the radius.
2
3
4
5
(c) Find the cross-section area.
1
(d) Express the volume as an integral.
Do not evaluate the integral.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46320f22-15c6-4b1f-a7d5-cd512745aa96%2F589f7129-54e1-4b0f-8ff1-2937fcc3c9ea%2F7e4wnh8_processed.png&w=3840&q=75)
Transcribed Image Text:Use disk method to find the volume of the solid obtained when the region bounded
by the curve y= cos x, 0<x<r/2, and the x- axis is rotated about the x-axis.
(a) shade the region on the graph below
(b) Find the radius.
2
3
4
5
(c) Find the cross-section area.
1
(d) Express the volume as an integral.
Do not evaluate the integral.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Disc method is one among several methods that is used to find the volume of a region of rotation. If the cross sections of the region are circles, then it is possible to divide the entire region into discs. In disc method, the cross sectional area is multiplied with the thickness of the cross section, say , to obtain the volume.
Step by step
Solved in 4 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)