Question

Calculus help!
http://imageshack.us/a/img28/9743/img14022013013518.png

Answer 1

Do you want to use a particular method? Washer method is probably going to be easiest but idk for sure.

Answer 2

nah,anyone woulddo

Answer 3

http://library.thinkquest.org/3616/Calc/S3/TWM.html

The outer radius and inner radius are shown in the pic. We have to use 1-y because that gives us the radius from the axis of rotation (y=1).

Answer 4

Outer radius is 1-x, inner radius is 1-sqrt(x)\[V= \pi \int\limits_{0}^{1}\left[ (1-x)^2 - (1-\sqrt x )^2 \right] dx\]

Answer 5

is that the ans? :o

Answer 6

Well you have to integrate that first...

Answer 7

then?

Answer 8

Then that'll be the volume, whatever V equals.

Answer 9

thanks!

Answer 10

for part b, outer radius is given by 1+(1/x) and inner radius is equal to 1.

Answer 11

\[V = \pi \int\limits_{1}^{3} \left[ \left( 1+\frac{ 1 }{ x} \right)^2 - (1)^2\right]dx\]