12. [-I0.66 Points] DETAILS SCALCET8 6.3.004. MY NOTES ASK YOU R TEACHER Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. y=x3, y=0, x=1, X=Z 13. [-I0.66 Points] DETAILS SCALCET8 6.3.009. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the X-axis. xy=7, X=O, y=7, y=9 Need Help? 14. [03310.66 Points] DETAILS PREVIOUS ANSWERS SCALCETB 6.3.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the method of cylindrical shells to find the volume Vof the solid obtained by rotating the region bounded by the given curves about the x-axis x:1+(y77)2, x:17 15. [-I0.76 Points] DETAILS SCALCETB 6.3.039. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method. y27X2:1, y:2; aboutthex-axis Need Help? _' 7. [0.44/0.66 Points] DETAILS PREVIOUS ANSWERS SCALCET8 6.2.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. 7'[ 7f y=3+sec(x),_sxs_, 3 3 v = 10. [-l0.66 Points] DETAILS SCALCET8 6.2.048. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the volume Vof the described solid 5. y=5; abouty=3 A frustum of a right circular cone with height h, lower base radius R, and top radius r l ' I 11. [/0.66 Points] DETAILS SCALCETB 6.2.063. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following. (a) Set up an integral for the volume a solid torus (the donutshaped solid shown in the figure) with radii hr and aR. (Let a = 6 and b = 6.) 0 dy (b) By interpreting the integral as an area, find the volume V of the torus. V= Need Help