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Mathematics
Mathematics
Problem
Calculate the volume, in cubic units, of the solid obtained when the region bounded by
y
=
x
y=\sqrt{x}
y
=
x
,
y
=
0
y=0
y
=
0
, and
x
=
4
x=4
x
=
4
is revolved about the vertical line
x
=
6
x=6
x
=
6
. a)
128
π
5
\displaystyle\frac{128\pi}{5}
5
128
π
b)
96
π
5
\displaystyle\frac{96\pi}{5}
5
96
π
c)
192
π
5
\displaystyle\frac{192\pi}{5}
5
192
π
d)
232
π
5
\displaystyle\frac{232\pi}{5}
5
232
π
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