M 7 LSN 20 Lesson 20 Truncated Cones

M 7: LSN 20 Lesson 20: Truncated Cones Activating Prior Knowledge Find the area of the following right triangle: Find the length of the chord Tie to LO

Learning Objective Today, we will know that a truncated cone or pyramid is the solid obtained by removing the top portion of a cone or a pyramid above a plane parallel to its base and be able to find their volumes. CFU

M 7: LSN 20 Lesson 20: Truncated Cones Opening Exercise Describe the shape of the bucket. What is it similar to? The bucket is cone-shaped but not a cone or that it is cylinder-shaped but tapered Estimate the volume of the bucket. CFU

M 7: LSN 20 Lesson 20: Truncated Cones Concept Development CFU

M 7: LSN 20 Lesson 20: Truncated Cones Concept Development Solve for x CFU

M 7: LSN 20 Lesson 20: Truncated Cones Concept Development Now we can find the volume of the large cone, find the volume of the small cone that was removed, and then subtract the volumes. What will be left is the volume of the truncated cone. CFU

M 7: LSN 20 Lesson 20: Truncated Cones Concept Development CFU

M 7: LSN 20 Lesson 20: Truncated Cones Concept Development CFU

M 7: LSN 20 Lesson 20: Truncated Cones Concept Development Find the volume of the truncated cone. Write a proportion that will allow you to determine the height of the cone that has been removed. Explain what all parts of the proportion represent. CFU

M 7: LSN 20 Lesson 20: Truncated Cones Concept Development Find the volume of the truncated cone. Solve your proportion to determine the height of the cone that has been removed. CFU

M 7: LSN 20 Lesson 20: Truncated Cones Concept Development Find the volume of the truncated cone. Write an expression that can be used to determine the volume of the truncated cone. Explain what each part of the expression represents. CFU

M 7: LSN 20 Lesson 20: Truncated Cones Concept Development Find the volume of the truncated cone. Calculate the volume of the truncated cone CFU

M 7: LSN 20 Lesson 20: Truncated Cones Concept Development Find the volume of the truncated cone. Calculate the volume of the truncated cone The volume of the truncated cone is CFU

M 7: LSN 20 Lesson 20: Truncated Cones Concept Development Find the volume of the truncated pyramid with a square base Write a proportion that will allow you to determine the height of the cone that has been removed. Explain what all parts of the proportion represent. CFU

M 7: LSN 20 Lesson 20: Truncated Cones Concept Development Find the volume of the truncated pyramid with a square base Solve your proportion to determine the height of the pyramid that has been removed. CFU

M 7: LSN 20 Lesson 20: Truncated Cones Concept Development Find the volume of the truncated pyramid with a square base Write an expression that can be used to determine the volume of the truncated pyramid. Explain what each part of the expression represents. CFU

M 7: LSN 20 Lesson 20: Truncated Cones Concept Development Find the volume of the truncated pyramid with a square base Calculate the volume of the truncated pyramid. CFU

M 7: LSN 20 Lesson 20: Truncated Cones Concept Development Find the volume of the truncated pyramid with a square base CFU

Closure 1. What did we learn today? 2. How do you find the volume of a truncated cone? Homework – Module 7 page 111112 Problem Set #1 -3 CFU