Volume Relationships
Math: Middle Grades Math: Geometry
6-8
45 Minutes
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire™ Apps for iPad®
3.9
Lessons
TNS
Volume Relationships
Activity Overview
This lesson involves the volume formula for cylinders, cones, and spheres.
Objectives
- Students will determine the formula for the volume of a cylinder.
- Students will relate the volume of a cylinder to the volume of a cone in order to determine the formula for the volume of a cone.
- Students will relate the volume of a cylinder to the volume of a sphere in order to determine the formula for the volume of a sphere.
- Students will calculate the volume of a cylinder, cone, and sphere with given dimensions.
Vocabulary
- cylinder
- cone
- sphere
- height
- radius
- diameter
- volume
About the Lesson
This lesson involves the volume formula for cylinders, cones, and spheres.
As a result, students will:
- Change the height and the radius of a cylinder to see the effects on the volume.
- Write the formula for the volume of a cylinder (i.e. V = πr2h ).
- Discover the formula for the volume of a cone using their knowledge of the formula of the volume of a cylinder.
- Discover the formula for the volume of a sphere using their knowledge of the formula of the volume of a cylinder.

Download Files
Math: Middle Grades Math: Geometry
6-8
45 Minutes
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire™ Apps for iPad®
3.9
Lessons
TNS
iPad is a trademark of Apple Inc., registered in the U.S. and other countries.
Vernier EasyData,Vernier EasyLink and Vernier EasyTemp are registered trademarks of Vernier Science Education.
Vernier EasyData,Vernier EasyLink and Vernier EasyTemp are registered trademarks of Vernier Science Education.