1. 6.2 Volumes by Revolution: Disk/Washer Method

2. Disk:
Washer:

3. Find the volume of the solid obtained by rotating the region bounded by given curves about the specified line:
Ex 1:

4. Ex 2:

5. Ex 3:

6. Ex 4:

7. HW: 6.2 pg. 448 #1 – 17 odds, 31 – 35 odds

8. 6.3 Volumes by Revolution: Shell Method

9. Cylindrical Shell Method:

10. Cylindrical Shell Method
Find the volume using:
Disk/Washer Method
Cylindrical Shell Method
Ex 1:

11. Find the volume using the Cylindrical Shell Method
Ex 2:

12. Find the volume using the Cylindrical Shell Method
Ex 3:

13. Find the volume using the Cylindrical Shell Method
Ex 4:

14. HW: 6.3 pg. 455 #5, 6, 9, 13, 17, 19

15. Definition of Volume from a to b: