In this lecture you will learn how to determine Volume by the Method of Cylindrical Shells. Our instructor will start with the three equations of Cylindrical Shells. The first is Rotation about the y-axis, the second is Rotation about the y-axis with two curves, and the third is Rotation about the x-axis. The lecture is finished off with five complete video examples.
I highly recommend
starting with a sketch of the functions involved and drawing in a
memorizing the formulas but also understanding the geometry that
leads to the formulas.
If an interval is
not given, you may need to set the two functions equal in order to
determine the interval involved.
geometrical considerations can help you to check your results or
even provide a non-calculus way to finish a problem.
Volume by Method of Cylindrical Shells
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.