Question

The region bounded by y = ex, y = e, and the y-axis is revolved around the y-axis. The volume of the resulting solid is:

Answer 1

Is it \(y = e^{x}\)?

Answer 2

yes :)

Answer 3

revolved around the \(y\)-axis so.. we change it to make \(x\) the subject i think..it has been a while that i have dont these..
\[ y = e^x => x = ln(y)\]

Answer 4

well do you know what to do next?

Answer 5

i think that it's pi * integral of (e-ln(y))^2

Answer 6

yes!

Answer 7

\[V = \pi\int\limits \ln^{2}(y)dy \]

Answer 8

and the limits are 0 to 2.718 am i correct?

Answer 9

e to 0