Find the area of a solid revolved around the x-axis bounded by the lines: y=e^x, y=pi, and x=0.

I used to know how to do this but got lazy over the summer. Just need a couple of nudges to get in the right direction.

Question

Find the area of a solid revolved around the x-axis bounded by the lines: y=e^x, y=pi, and x=0.

I used to know how to do this but got lazy over the summer. Just need a couple of nudges to get in the right direction.

jtvatsim · Answer

Alright, we should first draw a picture. That is always helpful.

theoreo · Answer

Ok on it, btw, I made a mistake, it's obviously supposed to be the volume of the solid, not the area.

jtvatsim · Answer

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jtvatsim · Answer

Does that seem right to you?

theoreo · Answer

Yeah that's what my drawing looks like on paper.

jtvatsim · Answer

Alright, now we need to revolve it around the x-axis, so we get something like this...

jtvatsim · Answer

|dw:1410145631051:dw|