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Mathematics
Mathematics
Problem
The region bounded by
y
=
x
y=x
y
=
x
, the
x
x
x
-axis, and
x
=
2
x=2
x
=
2
is revolved about the horizontal line
y
=
3
y=3
y
=
3
. What is the resulting volume? a)
44
π
3
\displaystyle \frac{44\pi}{3}
3
44
π
b)
28
π
3
\displaystyle \frac{28\pi}{3}
3
28
π
c)
8
π
3
\displaystyle \frac{8\pi}{3}
3
8
π
d)
26
π
3
\displaystyle \frac{26\pi}{3}
3
26
π
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