## Sphere Volume | School Yourself Geometry

Classroom Resource Information

Title:

Sphere Volume | School Yourself Geometry

URL:

https://aptv.pbslearningmedia.org/resource/geometry-sphere-volume/sphere-volume-school-yourself-geometry/

Content Source:

PBS
Type: Interactive/Game

Overview:

Use the Pythagorean theorem and apply Cavalieri's principle to cones and cylinders to find the volume of a sphere with this interactive video from the School Yourself Geometry series.

Content Standard(s):
 Mathematics MA2015 (2016) Grade: 9-12 Precalculus 38 ) (+) Give an informal argument using Cavalieri's principle for the formulas for the volume of a sphere and other solid figures. [G-GMD2] Mathematics MA2019 (2019) Grade: 8 30. Use formulas to calculate the volumes of three-dimensional figures (cylinders, cones, and spheres) to solve real-world problems. Alabama Alternate Achievement Standards AAS Standard: M.AAS.8.30 Use the formulas for perimeter, area, and volume to solve real-world and mathematical problems (where volume problems are limited to finding the volume of cylinders and rectangular prisms). Mathematics MA2019 (2019) Grade: 9-12 Geometry with Data Analysis 17. Model and solve problems using surface area and volume of solids, including composite solids and solids with portions removed. a. Give an informal argument for the formulas for the surface area and volume of a sphere, cylinder, pyramid, and cone using dissection arguments, Cavalieri's Principle, and informal limit arguments. b. Apply geometric concepts to find missing dimensions to solve surface area or volume problems. Alabama Alternate Achievement Standards AAS Standard: M.G.AAS.10.17 Compare and contrast the volume of real-world geometric figures.
Tags: area, Cavalieris principle, circle, circumference, cone, cylinders, formula, geometry, precalculus, pyramids, Pythagorean Theorem, spheres, volume