Chapter 8.3, Problem 19E

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Determine the volume of the solid in obtained by rotating the region bounded by y = x² - 1x and y = x about the line y = 4. Write your answer as a fraction in terms of in cubic units. 3 لیا 2 - O L Find the area of the surface formed by rotation, about z-axis the curve y = 2³ and 0 ≤ x ≤ 2. Your answer is expected exact in terms of .

Find the volume of the solid generated by revolving the region bounded by y = 4x-x² and y=x about the y-axis and about the line x = 3. What is the volume of the solid generated by revolving the region bounded by y = 4x - x² and y=x about the y-axis? Volume= (Type an exact answer, using as needed.) generated by revolving the region bounded by y = 4x-x² and y=x about the line x = 3? What is the volume of the solid Volume= (Type an exact answer, using as needed.) 4 SOCCO