A ceramic bowl is turned on a potter's wheel to approximate the surface obtained by revolving the curve y= (2/3)((x^2) - 1 ) from x=1 to x=2 about the y axis. What is the approximate outside area of the bowl? [assume that each unit on the x and y axes represents 10 cm]

Any thoughts?

I'd really appreciate any help, especially if it would lead to the solution.

Thanks.