"Use the shell method to calculate the volume of the solid of revolution which is generated by the region bounded by the curves y=e^-x, x=0, and x=2, about the y-axis."

I'm studying for an exam and this is on my study guide, so I figured it would be good to review this problem and make sure that I know it.

Question

"Use the shell method to calculate the volume of the solid of revolution which is generated by the region bounded by the curves y=e^-x, x=0, and x=2, about the y-axis."

I'm studying for an exam and this is on my study guide, so I figured it would be good to review this problem and make sure that I know it.

anonymous · Answer

Show me what you have so far, please

anonymous · Answer

I'm just starting now. This isn't homework, it's a practice problem. I don't remember how to do the shell method, so I need somebody to walk me through it.

anonymous · Answer

draw it out first,

anonymous · Answer

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The initial plot would look something like this. Rotating it about the x-axis, I would get a cone for my solid.