Find the volume of the solid generated by revolving the region bounded by the following curves and lines about the y-axis: y=2/sqrt(x), y=0 , x=1 , x=4.

My book says the answer is 56pi/3 but I'm having trouble figuring out how interpret the graph. Any method would be helpful, but the shell method would be preferred if you can.

Question

Find the volume of the solid generated by revolving the region bounded by the following curves and lines about the y-axis: y=2/sqrt(x), y=0 , x=1 , x=4.

My book says the answer is 56pi/3 but I'm having trouble figuring out how interpret the graph. Any method would be helpful, but the shell method would be preferred if you can.

anonymous · Answer

It helps to draw the picture.

theoreo · Answer

Yeah, I drew it out, but I'm still having trouble figuring it out. I've tried a couple of different integrals, using both the shell and the washer method, but I'm still screwing up and I can't figure out where exactly.

anonymous · Answer

does y = 2/x ?

theoreo · Answer

No $$y=\frac{ 2 }{ \sqrt{x}}$$ 

Sorry, didn't know how to use the equation button before.

anonymous · Answer

The region of interest:
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