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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