12. [-10.13 Points] DETAILS SCALCET9 6.2.029. OH 00 Submissions Used MY NOTES ASK YOUR TEACHER Three regions are dened in the figure. )1 C(o,2 o ' A(1,0) G) Find the volume generated by rotating the given region about the specified line. 1 about 0A Need Help? i i 13. [40.13 Points] DETAILS SCALCET9 6.2.038. 01100 Submissions Used MY NOTES ASK YOUR TEACHER Three regions are defined in the figure. y can O I A(1,0) (D Find the volume generated by rotating the given region about the specified line. .993 about DC Z Need Help? i 14. [-/0.13 Points] DETAILS SCALCET9 6.2.041. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER A graphing calculator is recommended. Use technology to find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. (Round your answers to five decimal places.) y zex , y = 0, x = -2, x = 2 (a) about the x-axis (b) about y = -1 Need Help? Read It Watch It 15. [-/0.13 Points] DETAILS SCALCET9 6.2.060. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER Find the volume V of the described solid S. a frustum of a right circular cone (the portion of a cone that remains after the tip has been cut off by a plane parallel to the base) with height h, lower base radius R, and top radius r -R- V = Need Help? Read It 16. [-/0.13 Points] DETAILS SCALCET9 6.2.070. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER Find the volume V of the described solid S. The base of a solid S is the region enclosed by the parabola y = 4 - x2 and the x-axis. Cross-sections perpendicular to the y-axis are squares. V = Need Help? Read It 17. [-/0.19 Points] DETAILS SCALCET9 6.2.075. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER A torus with radii r and R is a donut-shaped solid as shown in the figure. (a) Set up, but do not evaluate, a definite integral for the volume of the torus. dy (b) By interpreting the integral as an area, find the volume V of the torus. V = Need Help? Read It Watch It