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Find the lateral (side) surface area of the cone generated by revolving the line segment y = 9/7x, 0 ≤ x ≤ 4, about the x-axis. Check your answer with the following geometry formula. Lateral surface area = 1/2×base circumference × slant height Set up the integral that gives the surface area of the cone. (Type exact answers, using π as needed.) The lateral surface area is (Type an exact answer, using π as needed.)

Find the lateral (side) surface area of the cone generated by revolving the line segment y = 9/7x, 0 ≤ x ≤ 4, about the x-axis. Check your answer with the following geometry formula. Lateral surface area = 1/2×base circumference × slant height Set up the integral that gives the surface area of the cone. (Type exact answers, using π as needed.) The lateral surface area is (Type an exact answer, using π as needed.)

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Find the lateral (side) surface area of the cone generated by revolving the line segment y = 9/7x, 0 ≤ x ≤ 4, about the x-axis. Check your answer with the following geometry formula. Lateral surface area = 1/2×base circumference × slant height Set up the integral that gives the surface area of the cone. (Type exact answers, using π as needed.) The lateral surface area is (Type an exact answer, using π as needed.)

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