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Mathematics
Mathematics
Problem
The region between the curves
y
=
x
2
+
1
y=x^{2}+1
y
=
x
2
+
1
and
y
=
x
+
1
y=x+1
y
=
x
+
1
for
0
≤
x
≤
2
0\le x\le 2
0
≤
x
≤
2
is revolved about the
x
x
x
-axis. What is the volume of the solid generated? a)
5
π
5\pi
5
π
b)
6
π
6\pi
6
π
c)
4
π
4\pi
4
π
d)
16
π
3
\dfrac{16\pi}{3}
3
16
π
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