Volumes Worksheet 6.3 - Calculus Maximus Page 2

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Calculus Maximus
WS 6.3: Volumes
x  , and the x-axis. Which of the
2
3. Let R be the region enclosed by the graph of
y
x
, the line
4
following gives the best approximation of the volume of the solid generated when R is revolved about
the y-axis.
(A) 64
(B) 128
(C) 256
(D) 360
(E) 512
x  . Which of the following
x
x
4. Let R be the region enclosed by the graphs of
y
e
,
y
e
, and
1
gives the volume of the solid generated when R is revolved about the x-axis?
1
1
1
2
x
x
2
x
2
x
x
x
(A)
e
e
dx
(B)
e
e
dx
(C)
e
e
dx
0
0
0
1
1
2
2
x
2
x
x
x
(D)
e
e
dx
(E)
e
e
dx
0
0
Page 2 of 11

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