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Stupid, stupid, stupid math question

E

EyeMWing

Banned
Solids of rotation. Find the volume of the solid formed by rotating the region bounded by the curves

y=((-1/2)x+(1/2)
y=2x
x=1

around the line x=1.

I've tried it two different methods and NO MATTER WHAT I do, I can't get the two answers to agree. My best attempts thus far, have produced (32pi)/75 and (4pi)/25 as answers. Which of these is right, if either?
 
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