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Homework Statement
Hi, the next problem I thought it was easy...and I really think it is, but I haven't come with the right answer :S. I compare the answer in an internet page of problems and all it says is "wrong"...
The problem is the following:
Find the volume of the solid obtained by rotating the region bounded by
y=8*x+32, y=0 about the y-axis.
Homework Equations
I made the sketh in Maple:
http://img109.imageshack.us/img109/5669/solidvolumexi5.th.jpg
The Attempt at a Solution
Then I solve for x:
x=(y/8)-4
and wrote the Integral with respect to y, and limits from 0 to 32 (where the function y=8x+32 intersects the y-axis).
Integral of Pi*f(x)^2, from y=0 to y=32, it should give me the volume, isn't it?
http://img164.imageshack.us/img164/98/equationie6.th.jpg
My answer: 512/3 * Pi= 536.1651462
But the internet page says I'm wrong but I don't know why :S
Any help is welcome, Thanks in advance!
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