Lesson: Volumes by Slicing AP Calculus BC • AP Calculus ABMathematics
In this lesson, we will learn how to use integration to find the volume of a solid with a variable cross section.
Sample Question Videos
Use the slicing method to find the volume of the solid whose base is the region enclosed by and , and whose slices perpendicular to the -axis are right isosceles triangles with one side parallel to the -axis.
Use the slicing method to find the volume of the solid whose base is the region under the parabola in the first quadrant and whose cross-sectional slices are squares perpendicular to the -axis with one edge in the -plane.
Use the slicing method to find the volume of the solid of revolution bounded by the graphs of , , and and rotated about the .