Asked by alexis
                The region between the graphs of y=x^2 and y=2x  is rotated around the line x=2. 
how do you find the volume of the object?
            
        how do you find the volume of the object?
Answers
                    Answered by
            drwls
            
    First find the enclosed region between the curves. It looks like it goes from (x = 0, y = 0) to (x = 2, y = 4)
Then perform the integration from x = 0 to 2 of 2 pi(2x - x^2)(2-x)dx. This is a series of thin ring-shaped areas centered on the x=2 vertical line
    
Then perform the integration from x = 0 to 2 of 2 pi(2x - x^2)(2-x)dx. This is a series of thin ring-shaped areas centered on the x=2 vertical line
                    Answered by
            Stanley
            
    64pi/6
    
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