Volume of Cylinders, cones, and spheres Webquest Volume of Cylinders, cones, and spheres

Introduction There are specific formulas that you can use to find the volume of everyday objects! Today we are going to learn the formulas for finding the volumes of cylinders, cones, and spheres. After visiting a few websites, you should be comfortable with these formulas and ready to find the volume of real-life objects!

Task Students are required to know the formulas for the volumes of cones, cylinders, and spheres. Students will memorize these formulas and use them to solve real-world mathematical problems.

Process First, go to the first website listed below. Copy down the formula for the volume of a Cylinder. This website is interactive so you can change the height and radius of the Cylinder. Play around with this model and be sure to read the “How to find the volume of a cylinder” section. Next, go to the second website listed below. Copy down the formula for the volume of a Cone. Study the Cone and be aware of what components you need to fine the area of the Cone. Looking at the two examples provided will make give you an idea of what a volume problem looks like. Finally, go to the third website listed before. Copy down the formula for the volume of a sphere. This is just a basic model, but it is very clear on what components you need to solve for volume. Study this model. http://www.mathopenref.com/cylindervolume.html http://www.basic-mathematics.com/volume-of-a-cone.html http://math.about.com/od/formulas/ss/surfaceareavol.htm

Process Based on what you learned from the three websites, complete the following worksheet using the volume formulas. https://docs.google.com/a/lions.molloy.edu/viewer?attid=0.1&pid=gmail&thid=13deb038ea5855e5&url=https%3A%2F%2Fmail.google.com%2Fmail%2Fu%2F0%2F%3Fui%3D2%26ik%3D00584255d6%26view%3Datt%26th%3D13deb038ea5855e5%26attid%3D0.1%26disp%3Dsafe%26realattid%3Df_hfa05r4a0%26zw&docid=92a5051b8acaccc825d9e5dd3654e26d%7Cc2beaa41d175db2b2b80126586b6fedb&a=bi&pagenumber=1&w=800

Conclusion You have now learned the formulas for the volumes of cylinder, spheres, and cones. You can use this information and apply it to real life objects! Remember to stay sharp with the formulas you have learned because you are definitely going to see them again. Practice!

Evaluation Question # 2 points if the student used the correct formula 3 points if the student used showed their work 4 points if the student provided the correct answer 1 point if the student labeled their answer properly #1 #2 #3 #4 #5 #6 Each question is worth a total of 10 points. This rubric illustrates the information needed to earn the 10 points for each question. The worksheet is out of 60 points.

Teacher Page Math Common Core Standards Websites Used 8.G.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world mathematical problems. Websites Used http://www.mathopenref.com/cylindervolume.html http://www.basic-mathematics.com/volume-of-a-cone.html http://math.about.com/od/formulas/ss/surfaceareavol.html

About the Author Thomas Ferrari, born on June 10th 1992, is currently a junior at Molloy College studying to earn a B.A. in Mathematics Adolescent Education with Special Education Certification. His main goal is getting a job immediately after graduation in a school district on Long Island.