Education Technology

Middle Grades Math: Volume Relationships
by Texas Instruments

Updated on March 23, 2015

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.