Volumes Math Worksheet 6.3 With Answers Page 2
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11Calculus Maximus
WS 6.3: Volumes
2
3. Let R be the region enclosed by the graph of
x , the line
, and the x-axis. Which of the
y
x
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
x
4. Let R be the region enclosed by the graphs of
y
e ,
y
e , and
x
1
. Which of the following
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
e
dx
e
e
dx
0
0
Page 2 of 11
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