Question

Use the shell method to find the volume of the solid generated by revolving
the region bounded by the curves and lines about the y-axis.
y = 2x, y = (x/2), x = 1

I just need help setting it up, not necessarily the answer :)

Answer 1

it will look something like this

to find bounds plug in 1 for x in both equations .5 to 2 is your bounds :)

Answer 2

Oh yea, I found the bounds and transformed the euqations so that that they are x=2y and x=y/2

Answer 3

Sorry, shoulda mentioned that!

Answer 4

well shell method just means take rings


big ring minuse litle ring

(pif(x)^2)- (pi g(x)^2)

Answer 5

Oh really? I'm confused because in my book they are finding the height and circumference and thickness...?

Answer 6

well maybe they do it a different way but that is what it really is :P

Answer 7

Oh okay, I will try it like you suggested :)

Answer 8

shell method is not a "ring" method. but sometimes we have to use a similar process

Answer 9

y-axis.
y = 2x, y = (x/2), x = 1 ; about the y-axis