Find the volume of the solid generated by revolving the regions bounded by the lines and curves y = el* 1710), y = 0, x=0 and x= 10 about the x-axis. . . . The volume of the resulting solid is units cubed.a. Set up an integral for the area of the surface generated by revolving the given curve about the indicated axis. b. Graph the curve. c. Use technology to find the surface area numerically. xy = 1, 5sys 9; y-axis a. Set up an integral for the area of the surface. S = (Type an exact answer, using it as needed.) b. Use technology to graph the curve. Choose the correct answer below. O A. O B. O C. OD. AY 10- 10 My - 27 8-7 c. The area of the surface is square units. (Do not round until the final answer. Then round to the nearest hundredth as needed.)Find the center at mass [centroid]: dfa thin wire of density 5: ksin I] (k y constant) shaped like a semicircle of radius a. A typical small segment of wire has dm = E d: = 3mm. A3135}: dI'i . ' _ K" to 053. a srn) Determine the coordinates for the center of mass. Determine i. i: E {Type an exact answer, using I as needed.) Determine j. i: E (Type an exact answer: using 31: as needed.)