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Mathematics
Mathematics
Problem
A region is enclosed by the lines
x
=
1
x=1
x
=
1
,
x
=
3
x=3
x
=
3
,
y
=
0
y=0
y
=
0
, and
y
=
2
y=2
y
=
2
. The region is revolved about the
y
y
y
-axis. What is the volume of the resulting solid? a)
32
π
32\pi
32
π
b)
16
π
16\pi
16
π
c)
8
π
8\pi
8
π
d)
52
π
3
\dfrac{52\pi}{3}
3
52
π
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