MATH 166 Lecture 2: Notes Section 6.2 Volumes Using Cylindrical Shells

• School: Iowa State University
• Department: Mathematics
• Course: MATH 166
• Professor: Mehmet Dagli

Document Summary

A cylindrical shell is a solid bounded by two concentric right circular cylinders. Base x height r rz f. ) h l tri. Average r , and of rz r rz ) Same formula by unrolling the above cylinder : ear" n. Revolve this region about the y - axis to solid of revolution fine . V = 2t xf ( x ) dx. Dse the method of shells to find the volume generated by revolving the region bounded by y= , y=o , 2. x2 about the y= y - axis. Find the volume of the solid generated by revolving the region in the first quadrant that. :s above y=3 - x and below y=3t2 . X2 about the y - axis y=3t2x - 2. The region bounded by the line y=i , the axis and the line. X=h is revolved about the x - axis . ( here r.