Question

7-10. Use the region R that is bounded by the graphs of y x-4, and y = 1 to complete the exercises. + 4 Region R is revolved about the x-axis to form a solid of revolution whose cross sections are washers. 7. a. What is the outer radius of a cross section of the solid at a point x in [0, 4]? b. What is the inner radius of a cross section of the solid ata point x in [0, 4]? c. What is the area A(x) of a cross section of the solid at a point x in [0, 4]? d. Write an integral for the volume of the solid. 8. Region R is revolved about the y-axis to form a solid of revolihio whose cross sections are washers. a. What is the outer radius of a cross section of the solidata point y in [1, 3]? point y in [1, 3]? y in [1,3]? b. What is the inner radius of a cross section of the soltu a c. What is the area A(y) of a cross section of the solid at a poum d. Write an integral for the volume of the solid

Please solve for number 8. Thank you!!

Answer 1

2. let (d), ?lo,y) in [1,31 bec, nd point ondax#x. 2 /3