- #1
fiziksfun
- 78
- 0
I'm confused when to use the shell method vs. the disk method
Specifically in this problem:
If the region encolsed by the y-axis, the line y=2 and the curve y=[tex]\sqrt{x}[/tex] is revolved around the y-axis, the volume of the solid generated is:
However when I use the shell method and the disk method I get different answers
Can someone tell me what I'm doing wrong?
Disk Method:
[tex]\pi[/tex] [tex]\int[/tex]y^4 dy evaluated from 0 to 2
Shell Method:
2[tex]\pi[/tex][tex]\int[/tex]x(2-[tex]\sqrt{x}[/tex])dx
Help please!
Specifically in this problem:
If the region encolsed by the y-axis, the line y=2 and the curve y=[tex]\sqrt{x}[/tex] is revolved around the y-axis, the volume of the solid generated is:
However when I use the shell method and the disk method I get different answers
Can someone tell me what I'm doing wrong?
Disk Method:
[tex]\pi[/tex] [tex]\int[/tex]y^4 dy evaluated from 0 to 2
Shell Method:
2[tex]\pi[/tex][tex]\int[/tex]x(2-[tex]\sqrt{x}[/tex])dx
Help please!