Volumes Worksheet 6.3 - Calculus Maximus

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Calculus Maximus
WS 6.3: Volumes
Name_________________________________________ Date________________________ Period______
Worksheet 6.3—Volumes
Show all work. No calculator unless stated.
Multiple Choice
1. (Calculator Permitted) The base of a solid S is the region enclosed by the graph of
y
ln
x
, the line
 , and the x-axis. If the cross sections of S perpendicular to the x-axis are squares, which of the
x e
following gives the best approximation of the volume of S?
(A) 0.718
(B) 1.718
(C) 2.718
(D) 3.171
(E) 7.388
 
3/ 2
2. (Calculator Permitted) Let R be the region in the first quadrant bounded by the graph of
y
8
x
,
the x-axis, and the y-axis. Which of the following gives the best approximation of the volume of the
solid generated when R is revolved about the x-axis?
(A) 60.3
(B) 115.2
(C) 225.4
(D) 319.7
(E) 361.9
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