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## Homework Statement

choose between washer and disk method, and find the area of the region bounded by the following curves by revolving around a) the y-axis b) the x-axis c) y=8, and x=2

## Homework Equations

y=2x

^{2}

y=0

x=2

## The Attempt at a Solution

So I set up a) from 0 to 8 [ 2-sqrt(y/2)]^2 dy (washer method)

I don't know how to do the notation around here, so I hope that is clear? And I did remember the PI out front in these. I got 16pi/3

b) from 0 to 2 (2x^2)^2 dx (disk method). for 128pi/5

c) from 0 to 2 (x-2x^2)^2 dx (washer method) for 184pi/15

d) from 0 to 8 (sqrt(y/2))^^2 dy (disk method) for 16pi

I have no clue if I'm doing this right.... all the values seem so different... :(