method of cylindrical shells to find the volume V

Use the method of cylindrical shells to find the volume *V* of the solid obtained by rotating the region bounded by the given curves about the *x*-axis.

*x* = 5 + *y*^{2}, *x* = 0, *y* = 1, *y* = 3

*V* =

Hi i got this example from my online text book, can someone please explain me how to do this question step by step working out. I have not attempted it. i asked my lecturer about it but i didnt understand anything because his english is really bad and he struggles to explain things correctly.

If anyone can give a worked tutorial for this question it would be great.

Re: method of cylindrical shells to find the volume V

You will get way more out of this is you are helped through it, not just given a fully worked solution.

First, sketch the region to be rotated about the *x*-axis. This helps tremendously in these problems.

For an arbitrary cylindrical shell, what is the radius, height and thickness?

Re: method of cylindrical shells to find the volume V

Hi mate i understand that you have to sketch it and stuff, i just dont have time to sit in front of computer for 1-2 hours trying to figure it out. if you cant do it thats fine.

Re: method of cylindrical shells to find the volume V

Calculus takes both time and effort. When you decide to dedicate some of each to the subject, then and only then will you be ready for it.

Re: method of cylindrical shells to find the volume V

Wow mate im touched, that was really motivational but i have a social life!

Re: method of cylindrical shells to find the volume V

As you have a demanding social life, I would suggest you pursue a less demanding area of study. Your guidance counselor can suggest such areas for you.

You need something that doesn't require you to take 30 seconds to sketch a parabola with a horizontal axis of symmetry (the *x*-axis), and 2 other horizontal lines.

I could be wrong, but I suspect your lecturer's "problem" isn't so much a language issue, but rather an issue with students who have little desire to learn.

Re: method of cylindrical shells to find the volume V

I don't think I have ever seen a more offensive thread. The OP has stated he has not attempted the problem, is asking for a worked solution to hand in as his own, insulted his lecturer, claimed to "not have time" to work on his own work due to his "heavy social life", and insulted the member who was trying to help him by implying that the helper could not do this problem.

If that doesn't warrant banning from the site, I don't know what is...