Arc length of curve problem. (Set up, but do not evaluate, integrals for the volumes produced by...)

[Ramulala]

Hi! I was struggling to answer this question.
I think I have solved the part b of which I got [math]\int_{0}^{8} [π(\pi)^2 - \pi(1/4x)^2 ] dx[/math]i am not sure how to find part a and especially part c.

 

[Steven G]

Your answer for b is wrong.
Let's just work on part a first.
What method do you want to use? Disc or shell? What is the formula for that method? Try to see how far you can get.

 

[Steven G]

Part c is done exactly like a is done.
In part b did you really mean to type π(π)²?