This hands-on activity builds your students' conceptual understanding of finding volumes of revolution using disc method. By slicing an orange and computing the volume of each slice, students learn how the disc method works and what each part of the integral represents. Teaching your students with graphing software and 3-D images is helpful, but nothing beats holding an orange, slicing it up, and finding the volumes. This is a lesson your students will remember when looking back on your calculus class.
Student version of lesson handout
Teacher version of lesson handout with full solutions and guiding questions
You may purchase this lesson individually, or purchase the bundle that includes:
1. AP Calculus Lesson: Volumes of Revolution | Disc Method by Slicing Oranges
2. AP Calculus Lesson: Volumes of Revolution | Washer Method by Slicing Bagels
3. AP Calculus Lesson: Volumes of Revolution | Shell Method by Slicing Angel Food Cake