PLEASE HELP! Find the area of the surface obtained by rotating the curve x = 3 e^{2y} from y=0 to y = 1 about the y-axis.

Question

amistre64 · Answer

its always nice to be able to draw a picture for these as well

amistre64 · Answer

it should pretty much be the same as lnx

amistre64 · Answer

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amistre64 · Answer

this is just finding the areas of alot of circles from y=0 to y=1

amistre64 · Answer

do you recall the formula for the area of a circle?

anonymous · Answer

Pi r^2

amistre64 · Answer

do we want surface area of the rotation?  or volume of the rotation?  the question is not clear in that

anonymous · Answer

Surface area I think

amistre64 · Answer

oh, i was doing volume :)  same concepts, just a different approach

amistre64 · Answer

$$\int 2\pi x\ ds$$ where ds = sqrt(1+x'^2) dy