When finding the volume by either the washer, disk, or cylindrical shell, how would the limit be found?

Printable View

- February 2nd 2009, 06:31 PM_rawrFinding Volume by Washer/Disk/Cylindrical Shell
When finding the volume by either the washer, disk, or cylindrical shell, how would the limit be found?

- February 2nd 2009, 06:43 PMnyasha
- February 2nd 2009, 06:56 PM_rawr
- February 2nd 2009, 07:14 PMnyasha

http://i201.photobucket.com/albums/a...7/calculus.jpg

Find the intersections points of these two functions and those are your limits depending on whether you are using horizontal strips of vertical strips.

Note: The points of intersection are shown on the graph l uploaded. If using horizontal strips then take the y-values and if using the vertical strips then take the x-values. - February 2nd 2009, 07:17 PM_rawr
I see. Thank you very much for your help. :)

- March 17th 2009, 05:14 AMru_bledhow to solve integral of similar plot
i have this problem: find the volume of solid bounded by 2x+y=6 and y=4x^2 rotated about the x-axis using cylindrical shells... the book's answer is 250pi/3. but i can't seem to get that answer.

the plot is similar to that, and what i did is to separate the integrals into 2. one is the integral of 2*pi*y*(sqrt of y) from 0 to 4 and the second integral is the difference of the 2 functions. am i doing it right? - March 17th 2009, 06:03 AMnyasha
- March 17th 2009, 06:12 AMru_bled
horizontal strips since i need to do it using cylindrical shells