Sec 6 3 VOLUMES BY CYLINDRICAL SHELLS Area
Sec 6. 3: VOLUMES BY CYLINDRICAL SHELLS Area of the surface
Sec 6. 3: VOLUMES BY CYLINDRICAL SHELLS CYLINDRICAL SHELL
Sec 6. 3: VOLUMES BY CYLINDRICAL SHELLS
Sec 6. 3: VOLUMES BY CYLINDRICAL SHELLS The volume is given by Find the surface area
Sec 6. 3: VOLUMES BY CYLINDRICAL SHELLS step 1 step 2 Graph and Identify the region Draw a line parallel to the rotating line at the point x step 3 Rotate this line about the rotating line step 4 Find: in terms of step 5 The volume is given by Note: rotating line is y-axis dx and we draw a parallel line to y-axis
Sec 6. 3: VOLUMES BY CYLINDRICAL SHELLS
Sec 6. 3: VOLUMES BY CYLINDRICAL SHELLS 1 2 3
Sec 6. 3: VOLUMES BY CYLINDRICAL SHELLS (6. 3) rotating line Parallel to y-axis The volume is given by CYLINDRICAL SHELLS (6. 3) Find the surface area rotating line Parallel to x-axis The volume is given by Find the surface area
Sec 6. 3: VOLUMES BY CYLINDRICAL SHELLS 1 2 3
Sec 6. 3: VOLUMES BY CYLINDRICAL SHELLS
Sec 6. 3: VOLUMES BY CYLINDRICAL SHELLS
Sec 6. 3: VOLUMES BY CYLINDRICAL SHELLS Remarks rotating line Parallel to x-axis CYLINDRICAL SHELLS (6. 3) rotating line Parallel to y-axis Remarks rotating line Parallel to x-axis DESK(6. 2) rotating line Parallel to y-axis
Sec 6. 3: VOLUMES BY CYLINDRICAL SHELLS EXAM (is not multiple choice) 1 Do the graph 2 Find intersection points (if needed) 3 Draw a parallel line 4 Find r and h in terms of x 5 Write the formula with a and b 6 Write the volume as an integral More Examples can be found here
Sec 6. 3: VOLUMES BY CYLINDRICAL SHELLS
Sec 6. 3: VOLUMES BY CYLINDRICAL SHELLS
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