Volumes Worksheet 6.3 - Calculus Maximus Page 3
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11Calculus Maximus
WS 6.3: Volumes
5. (Calculator Permitted) The base of a solid is the region in the first quadrant bounded by the x-axis, the
x . For this solid, each cross section perpendicular to the
1
graph of
, and the vertical line
y
sin
x
1
x-axis is a square. What is the volume?
(A) 0.117
(B) 0.285
(C) 0.467
(D) 0.571
(E) 1.571
2
6. Let R be the region in the first quadrant bounded by the graph of
y
3
x x
and the x-axis. A solid is
x . Set up, but do not evaluate, the definite
generated when R is revolved about the vertical line
1
integral that gives the volume of this solid.
3
3
3
2
2
2
(A)
2
x
1 3
x x
dx
(B)
2
x
1 3
x x
dx
(C)
2
x
3
x x
dx
0
1
0
3
3
2
2
2
(D)
2
3x x
dx
(E)
3x x
dx
0
0
Page 3 of 11
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