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Mathematics
Mathematics
Problem
The region in the
x
y
xy
x
y
-plane bounded by the curve
x
=
y
+
1
x = y + 1
x
=
y
+
1
, the line
y
=
0
y = 0
y
=
0
, and the line
y
=
2
y = 2
y
=
2
is revolved about the vertical line
x
=
5
x = 5
x
=
5
. What is the volume of the resulting solid? a)
32
π
3
\dfrac{32\pi}{3}
3
32
π
b)
28
π
3
\dfrac{28\pi}{3}
3
28
π
c)
56
π
3
\dfrac{56\pi}{3}
3
56
π
d)
88
π
3
\dfrac{88\pi}{3}
3
88
π
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