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Mathematics
Mathematics
Problem
The cross-section of a solid structure is defined by the coordinates
A
(
0
,
0
)
A(0,0)
A
(
0
,
0
)
,
B
(
6
,
0
)
B(6,0)
B
(
6
,
0
)
,
C
(
6
,
8
)
C(6,8)
C
(
6
,
8
)
, and
D
(
3
,
12
)
D(3, 12)
D
(
3
,
12
)
. The structure is formed by rotating this polygon around the
y
y
y
-axis (the line
x
=
0
x=0
x
=
0
). Calculate the volume of the resulting solid.
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