# Activities

• ##### Download

• • ##### Subject Area

• Math: Middle Grades Math: Geometry

• ##### Author 6-8

45 Minutes

• ##### Device
• TI-Nspire™
• TI-Nspire™ CAS
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™ Apps for iPad®
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.9

## 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.

• 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.