Use the shell method to find the volume of the solid generated by revolving the region bound by y = 2x, y = 0, and about the following lines. a. The y-axis d. The x-axis b. The line x = 6 e. The line y=8 dx c. The line x-9 f. The line y = -2 a. Set up the integral that gives the volume of the solid generated by revolving around the y-axis. 10

Use the shell method to find the volume of the solid generated by revolving the region bound by y = 2x, y = 0, and about the following lines. a. The y-axis d. The x-axis b. The line x = 6 e. The line y=8 dx c. The line x-9 f. The line y = -2 a. Set up the integral that gives the volume of the solid generated by revolving around the y-axis. 10

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 20E

See similar textbooks

Similar questions

For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b volumes.
Find the exact volume of the solid that results when the rectangular region with vertices at 0, 0, 6, 0, 6, 4 and 0, 4 is revolved about the a x-axis b y-axis
Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 5, 0 and 0, 9 is rotated about the a x-axis b y-axis
For the accompanying right circular cone, h=6 m and r=4 m. Find the exact and approximate a lateral area. b total area. c volume.
Find the volume of the solid of revolution that results when a right triangle with legs of lengths 5 in. and 7in. is rotated about the 7in.leg. Use 227.
Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.