find the volume of the solid generated by revolving the plane region bounded by the equations about the indicated line(s).
y=x y=0 x=4

(a) x the axis (b) y the axis(c) the line x=4(d) the line x=6

Question

find the volume of the solid generated by revolving the plane region bounded by the equations about the indicated line(s).
y=x y=0 x=4

(a) x the axis (b) y the axis(c)  the line x=4(d) the line x=6

anonymous · Answer

@Michele_Laino

anonymous · Answer

I just need help with d

michele_laino · Answer

we have to find the volume generated by the rotation of the subsequent region:
|dw:1431373124985:dw|

michele_laino · Answer

|dw:1431373189423:dw|

anonymous · Answer

Yep, i understand so far. Since there is a hole when rotating around x=6, you use the washer method

michele_laino · Answer

ok! I understand

anonymous · Answer

would we do 4^2-x^2. then integrate that?

michele_laino · Answer

the requested volume, can be obtained keep in mind this drawing:
|dw:1431373453157:dw|