6.3 Volumes by Cylindrical Shells
1-18. Find the volume generated by rotating the region bounded by the given curves about the -axis using the method of cylindrical shells.
1. .
http://matrix.skku.ac.kr/cal-lab/cal-6-3-1.html
4*pi
2. .
http://matrix.skku.ac.kr/cal-lab/cal-6-3-2.html
3. .
http://matrix.skku.ac.kr/cal-lab/cal-6-3-3.html
4. .
http://matrix.skku.ac.kr/cal-lab/cal-6-3-4.html
5. .
http://matrix.skku.ac.kr/cal-lab/cal-6-3-5.html
6. about .
http://matrix.skku.ac.kr/cal-lab/cal-6-3-6.html
7. about .
http://matrix.skku.ac.kr/cal-lab/cal-6-3-7.html
8. about the axis.
http://matrix.skku.ac.kr/cal-lab/cal-6-3-8.html
9. about .
http://matrix.skku.ac.kr/cal-lab/cal-6-3-9.html
10. .
http://matrix.skku.ac.kr/cal-lab/cal-6-3-10.html
.
11. .
http://matrix.skku.ac.kr/cal-lab/cal-6-3-11.html
.
12. .
http://matrix.skku.ac.kr/cal-lab/cal-6-3-12.html
.
13. .
http://matrix.skku.ac.kr/cal-lab/cal-6-3-13.html
.
14. .
http://matrix.skku.ac.kr/cal-lab/cal-6-3-14.html
15. about the axis.
http://matrix.skku.ac.kr/cal-lab/cal-6-3-15.html
16. about .
http://matrix.skku.ac.kr/cal-lab/cal-6-3-16.html
17. about the axis.
http://matrix.skku.ac.kr/cal-lab/cal-6-3-17.html
18. about the axis.
http://matrix.skku.ac.kr/cal-lab/cal-6-3-18.html