EXTRA CREDIT: +5 points
Semester 2 Unit 1 – 1-2 WKST Name:
No Calculator for #1 and #2. A Graphing Calculator is required for #3 and #4.
Find the volume of the figure created by revolving each region bounded by the curves about the given line.
1. [pic], the x-axis, and the y-axis about:
a) the x-axis b) the y-axis
2. [pic], [pic], and the x-axis about:
a) the x-axis b) [pic]
3. [pic], [pic], the x-axis, and the y-axis about:
a) the x-axis b) [pic]
6. Find the volume of the frustum of a cone on the right.
Hint: The figure is a result of a rotation. So position it on the
xy-plane in a way so the figure is the result of a
line that has been rotated around the x-axis. Find the
the equation of that line then apply the definite integral.
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16”
10”
12”
ANSWERS:
1a) 32π 2a) 632.134
b) 48π c) 101.068
2a) 8π 6) 1480π/3
b) 256π/15
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