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6
2006 Calculus #6: A Triangle's Revolution
2006 Calculus #6: A Triangle's Revolution
Source:
July 30, 2012
calculus
Problem Statement
A triangle with vertices at
(
1003
,
0
)
(1003,0)
(
1003
,
0
)
,
(
1004
,
3
)
(1004,3)
(
1004
,
3
)
, and
(
1005
,
1
)
(1005,1)
(
1005
,
1
)
in the
x
y
xy
x
y
-plane is revolved all the way around the
y
y
y
-axis. Find the volume of the solid thus obtained.
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