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Mathematics
Mathematics
Problem
The region bounded above by
y
=
2
y=2
y
=
2
and below by
y
=
x
y=x
y
=
x
on
0
≤
x
≤
2
0\le x\le 2
0
≤
x
≤
2
is revolved about the
x
x
x
-axis to create a solid. What is the volume of the solid? a)
6
π
6\pi
6
π
b)
32
π
3
\dfrac{32\pi}{3}
3
32
π
c)
16
π
3
\dfrac{16\pi}{3}
3
16
π
d)
8
π
3
\dfrac{8\pi}{3}
3
8
π
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