Posted by ME on Monday, January 23, 2012 at 12:27am.
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line x = 6.
y = 6 − x
y = 0
y = 5
x = 0

calculus  Steve, Monday, January 23, 2012 at 10:29am
You can use shells:
The region has to be broken up into the constantheight region where 0<=x<=1 and the slanting region where 1<=x<=6:
V = 2pi*Int(r*5 dx)[0,1] + 2pi*Int(rh dx)[1,6]
where r = 6x
h = 6x
= 138 2/3 pi
Or, using discs,
V = pi*Int(6^2  y^2) dy[0,5]
= 138 2/3 pi
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