I have this problem that wants me to find the volume of a solid. The problem is as follows:
Find the volume of the solid obtained by rotating the region bounded by , , and , about the x-axis.
I'm having trouble getting started with this problem. I've never done a problem like this and I can't find anything helpful in my textbook (I'm probably not looking in the right direction). I was wondering if anyone could give me some tips on how to get started or how to approach the problem.
Thanks for you consideration,
Austin Martin
Yes, this is the solution exactly! Thanks for the help.
I hate to be a bother, but I do want to make sure I'm doing these problems right, so I have a similar problem:
"Find the volume of the solid obtained by rotating the region bounded by y = 0, y = e^(5*x), x = 1, and x = ln(3)"
Applying the same idea before would the volume be:
e^(10x)dx ?
Or since it's revolved about the y-axis instead of the x-axis would the upper and lower boundaries be different? Thanks again in advance.
The part is bold is very vague, you forgot to mention what axis your rotating about. Assuming it is the x-axis and I have read the problem correctly the volume is given by .
About the y axis it is a bit more complicated if your sure it's the y-axis I'll post some details on how to do it.
Bobak