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.