Volume of revolution, where am i going wrong?

[helpmeplz!]

Homework Statement

Find the volume of solid obtained by rotating the region bounded by y=x^2,y=4 and x=0 about the line x=-2 using the shell method.

Homework Equations

I'm stuck because using disks I got the right answer 136pi/3 but I can't using shells?

The Attempt at a Solution

Integral 2pi (2+x) (4-x^2) dx from x=0 to 2. This gives 88 pi/3..

Please help!

 

[LCKurtz]

Why do you think $136\pi/3$ is correct? Your $88\pi/3$ looks correct to me. Hard to say what mistake you make, not seeing your work.

 

[jjpp109309]

I agree, the correct answer is 88/3 *pi

 

[LCKurtz]

This thread is a duplicate of
https://www.physicsforums.com/showthread.php?t=700432

 

[Redbelly98]

This thread is a duplicate of
https://www.physicsforums.com/showthread.php?t=700432

Yes, it is. This thread is locked.