You will be able to find the volume of a solid with known cross sections
For solids of revolution, each cross section is either a disk or a washer. In this second objective, we'll be able to find the volume of a solid with other cross sections, commonly squares, rectangles, triangles, or semicircles. Duration: 8:57
Now that we have the theory covered, let's practice the technique of finding the volume of a solid with square cross sections. First, however, we'll review a bit by finding the area between two curves and see how it relates to our current objective. Duration: 8:23
Using the same base as the previous Exercise, let's see how the problem changes when our cross sections are semicircles. Duration: 5:56
Now, what if our cross sections were equilateral triangles? You remember how to find the area of an equilateral triangle, right? Duration: 4:01
On Exercise 12, we get our first exposure to cross sections made perpendicular to the y -axis. This will, of course, necessitate solving each of our functions for x . Duration: 12:58
Remember that FRQ from our lesson on Area Between Curves? Here, we revisit that question armed with new calculus skills that will enable us to finish it off. Duration: 15:30