VOLUMES OF SOLIDS OF REVOLUTION	Write-Pair-Share	

For each axis of revolution given below, use the region bounded by y = 4x - x and  y = 0 and perform the following operations:

1)	Construct a LARGE diagram of the region being revolved 
2)	Choose a volume method—disk, washer or shell.  
3)	Clearly draw and label the important features in the diagram, i.e., representative rectangle, radius, height, etc.
4)	Set up the appropriate integral for finding the volume of the solid of revolution.
5)	Find the volume of the solid of revolution 
6)	Construct a three-dimensional sketch of the resulting solid of revolution.

1.  axis of revolution: the x-axis		

2.  axis of revolution: the line y = –2 

3.  axis of revolution: the line y = 6	

4.  axis of revolution: the y-axis						

5.  axis of revolution: the line x = 6