CK-12 Foundation
Method of Cylindrical Shells
Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of...
Curated OER
Volumes of Solids of Revolution
In this volumes of solids worksheet, pupils determine the volume of a solid of revolution by using the disk/washer method or the shell method. Explanations and examples are given prior to the exercise. This one-page worksheet contains...
Curated OER
Lesson #110 Volumes of Solids of Revolution (Disk Method)
Students examine volumes of solids of revolution. In this volumes of solids of revolution lesson, students use the limit of a Riemann sum to find the volumes of disks or cylinders and a sphere.
Curated OER
Solids of Revolution - Disks
Young mathematicians solve the volume using the disk method in this calculus lesson. They revolve a graph around the x-axis and calculate the volume. They use the TI to see the revolving around the x-axis and create a virtual cross...
CK-12 Foundation
Volume by Cross Section: Volume of the Cone
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
Curated OER
Volumes of Solids of Revolution (Disk Method)
Students investigate the concept of computing the volume of solids of revolution using the disk method. The activity requires some access to the Wood Shop to construct needed materials. It includes example problems for the teacher to use.
Mathematics Vision Project
Module 7: Modeling with Geometry
Model good modeling practices. Young mathematicians first learn about cross sections and solids of revolution. They then turn their attention to special right triangles and to the Laws of Sine and Cosine.
Curated OER
Volumes of Solids of Revolution
In this geometry worksheet, 10th graders use Styrofoam to model volume of solids and calculate the revolution. There is an answer key to this word problem.
Curated OER
AP Calculus Test Chapter 7
In this calculus activity, 12th graders determine the areas bounded by curves and the volume of the solids of revolution. The two page activity contains a combination of ten multiple choice and free response questions and is to be used...
Curated OER
AP Calculus Practice Exam
In this Calculus worksheet, 12th graders are provided with practice problems for their exam. Topics covered include limits, derivatives, area bounded by a curve, minimization of cost, and the volume of a solid of revolution. The four...
Curated OER
AP Calculus Practice Exam
In this Calculus worksheet, students are provided with practice problems for their exam. Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of revolution. ...
Curated OER
Volumes of Solids and Revolution
Students find the volume under a curve using the washer method. In this calculus lesson, students investigate solids and calculate the volume of an object rotation using the washer method. They investigate solids that rotate around x and...
Curated OER
Volumes of Solids of Revolution (Shell Method)
Students engage in a lesson plan that is concerned with finding the volume solids of revolution using the Shell Method. They compute the volume when using a variety of different problems. Students examine the solids in relation to...
Curated OER
Visualizing Solids of Revolution - Washers
Students solve the area of a cross section. In this calculus activity, students solve areas rotated and bounded by two functions. They solve using the washer method.
Curated OER
The Calculus Whiz Who Loved Candy
Students develop an equation for finding the volume of a commonly known piece of candy (M&M, Hershey's Kiss, Tootsie Roll Pop, Life Saver, etc.) by using calculus.
Curated OER
Volumes of Solids of Revolution (Shell Method)
Young scholars find the volume of solids and disks. In this finding the volume of solids and disks instructional activity, students find the volume using the washer, disk, and shell method. Young scholars integrate functions in terms...
Mathematics Vision Project
Module 5: Modeling with Geometry
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts to finding...
Curated OER
Review For Test On Chapter 8
Students engage in a study that is intended to be a review for a calculus exam. They practice using a review study sheet to go over some of the major concepts. The review includes using parabolas, length of arc, and volume of solids of...
College Board
Try This! Calculus Teaching Tips
It's important to spice up your lessons. An online article discusses teaching strategies for AP® Calculus. In-class activities include matching games, placemats, multiple choice questions, scripted discussion, involuntary discussion,...