integral: volume of rotation of y=sqrt[x] around y=3

[mathe25]

y=sqrt x, x=1 ,y=3
have to find a volume(certain integral) of geometric body which is showed (produced) by y=sqrtx rotation about OX

 

[stapel]

y=sqrt x, x=1 ,y=3
have to find a volume(certain integral) of geometric body which is showed (produced) by y=sqrtx rotation around y=3

Okay. How far have you gotten? You did the drawing, found the various endpoints and intersection points, and... then what? Which "rotation" equation did you pick? What was your integral set-up? Where did you get stuck?

Please be complete. Thank you! :wink:

 

[DrPhil]

y=sqrt x, x=1 ,y=3
have to find a volume(certain integral) of geometric body which is showed (produced) by y=sqrtx rotation about OX
View attachment 2693

You could also draw the line x=1, which is the lower limit of the integration.

Looking forward to seeing your work.