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Mathematics
Mathematics
Problem
The region enclosed by
y
=
x
y = \sqrt{x}
y
=
x
,
y
=
0
y = 0
y
=
0
, and
x
=
9
x = 9
x
=
9
is revolved about the line
x
=
−
3
x = -3
x
=
−
3
. What is the volume of the resulting solid? a)
972
π
5
\dfrac{972\pi}{5}
5
972
π
b)
1512
π
5
\dfrac{1512\pi}{5}
5
1512
π
c)
756
π
5
\dfrac{756\pi}{5}
5
756
π
d)
513
π
5
\dfrac{513\pi}{5}
5
513
π
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