Education Technology

Solids Of Revolution Between Two Curves

Subject Area
Math: Calculus: Definite Integrals and Applications
Math: AP Calculus: AP Calculus
Level
9-12
Activity Time
45 Minutes
TI Calculator
TI-Nspire™ CX/CX II
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire™
TI-Nspire™ CAS
TI-Nspire Version
3.2
Resource Types
Lessons
Format
TNS

Solids Of Revolution Between Two Curves

Activity Overview

Students will investigate 3D visualizations of volumes created by rotating two functions about the x-or y-axis. They will understand the concept and reason for the volume formula in order to be prepared for generalizations. Students will solve the definite integral by hand using the fundamental theorem of calculus and using the definite integral capabilities of the TI-Nspire. Students will also explore find the volume of a shape between two lines rotated about a vertical line.

Subject Area
Math: Calculus: Definite Integrals and Applications
Math: AP Calculus: AP Calculus
Level
9-12
Activity Time
45 Minutes
TI Calculator
TI-Nspire™ CX/CX II
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire™
TI-Nspire™ CAS
TI-Nspire Version
3.2
Resource Types
Lessons
Format
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.