Honors AP Calculus / Mr. Hansen
12/19/2008

Name: ______________________

 

Pop Quiz II: Solid of Revolution

 

 

1.

Sketch the triangular region bounded by the x-axis, the y-axis, and the line x + 2y = 8.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2.

Sketch the right circular cone formed by revolving the region from #1 about the y-axis. Initial here to confirm that you understand: Revolution about the y-axis: ____

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3.

If units are given to be centimeters (cm), compute the volume of the cone from #2,

(a) by plane slicing and
(b) by simple geometric formula.