You're rotating the region bounded by these curves about the -axis. Look at similar questions to get an idea of what volume is being generated. This problem is best solved using the shell method.
give the volume of the solid generated by revolving the region bounded by the graph of y=ln(x), the x-axis, the lines x=1 and x=e, about the y axis.
I dont understand because im like... about the y axis ? If I rotate all of the lines about the y axis it really doesnt make sense to me. If I rotate ln(x) around y axis itll look like a cone, then x=1 would be like a cylander around it, and x=e would be an even bigger cylinder around that... then they say the x axis... So Im like you cant rotate the x axis about the y axis right ?
It makes sense to me with it being ln(x) around the X axis with x=1 and x=e around the x axis cutting off pieces of it, then take the area from ln(x) to the x axis (or 1/2 the total area).
So yeah can anyone give me some insight? Maybe they meant x axis ?