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Find the area of the surface generated by revolving the curve y = x^3/9, 0 ≤ x ≤ 2, about the x-axis. Set up the integral that gives the area of the given surface. (Type exact answers, using π as needed.) The area of the surface is (Type an exact answer, using π as needed.)

Find the area of the surface generated by revolving the curve y = x^3/9, 0 ≤ x ≤ 2, about the x-axis. Set up the integral that gives the area of the given surface. (Type exact answers, using π as needed.) The area of the surface is (Type an exact answer, using π as needed.)

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Find the area of the surface generated by revolving the curve y = x^3/9, 0 ≤ x ≤ 2, about the x-axis. Set up the integral that gives the area of the given surface. (Type exact answers, using π as needed.) The area of the surface is (Type an exact answer, using π as needed.)

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