1. Lesson 3

1.7. Explore 3

Mathematics 20-3 Module 7

Module 7: Volume and Capacity

 

 

The Volume and Capacity of a Cone


You will now explore the volume of a cone. Watch “Measurement (Volume of a Cone): Part 1.”

 

This play button opens Measurement (Volume of a Cone): Part 1.

Used with permission of Norquest College and Bow Valley College

 


 
Try This 2
  1. What is the formula for the capacity of a cylinder with a base of B units2 and a height of h units?

  2. What is the formula for the capacity of a cylinder with a circular base of radius r units and a height of h units?

  3. What is the relationship between the capacity of a cone and the capacity of a cylinder with the same height and base?

  4. Use your answers to questions 1 and 2 to determine two possible formulas for the volume of a cone.

  5. How are the formulas for the volumes of pyramids and cones similar?

course folder Save a copy of your responses to your course folder.

 

Share 2

Share your responses to the questions in Try This 2 with a classmate or group. After sharing the formulas you developed, answer the following question:
  • How are the formulas for the volume of a cone and the volume of a pyramid similar?

course folder If required, save a copy of your discussion in your course folder.