# Volume Shell Method.

1. Jan 25, 2012

### chapsticks

1. The problem statement, all variables and given/known data

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis.
y = √x

2. Relevant equations

V=2∏∫p(x)h(x) dx
a=0
b=8
3. The attempt at a solution

V=2∏∫(x)(√x)dx
a=0 b=8
=2∏∫(x)3/2dx
=[(4∏/5)x5/2]8
V= when I do this my answer is wrong and too big

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2. Jan 25, 2012

### Staff: Mentor

It looks to me like the interval over which you should be integrating is [0, 9], not [0, 8]. Except for that, I don't seen anything wrong. I get an answer of 972$\pi$/5 for the volume.

3. Jan 25, 2012

### chapsticks

Wow I should have paid close attention the graph is too small haha thank you.