1. [-/35 Points] DETAILS SCALC9 5.3.001. MY NOTES Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y = 5x(X - 2)2 6/ 4 2 1 X 2 Explain why it is difficult to use the washer method to find the volume V of S. What are the circumference c and height h of a typical cylindrical shell? C(x) h(x) Use the method of cylindrical shells to find the volume V of S. 2. [0/9 Points] DETAILS PREVIOUS ANSWERS SCALC9 5.3.005. MY NOTES ASK YOUR TEACHER PRACTICE A 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 = 2 x, y=0, x=1 X Need Help? Read It Watch It Submit Answer 3. [-/7 Points] DETAILS SCALC9 5.3.017. MY NOTES ASK YOUR Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the graphs of the given equations about the x-axis. y = x3 /2, y = 8, x = 04. [-/7 Points] DETAILS SCALC9 5.3.029. MY NOTES ASK YOUR TEACHER Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis. x = 5y2, y 2 0, x = 5; about y = 2 Need Help? Read It Submit Answer 5. [-/14 Points] DETAILS SCALC9 5.3.035. MY NOTES ASK YOUR TEACHER Consider the following. x = 9v sin(y), OSy S n, x = 0; about y = 4 (a) Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis. V = dy (b) Use technology to evaluate the integral. (Round your answer to four decimal places.)6. [-/7 Points] DETAILS SCALC9 5.3.055. MY NOTES ASK YOUR TEACH The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method. y2 - x2 = 1, y = 2; about the x-axis Need Help? Read It Watch It Submit Answer 7. [-/7 Points] DETAILS SCALC9 5.3.058. MY NOTES ASK YOUR TEACH The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method. x = (y - 7)2, x = 16; about y = 3