Unit 6, Lesson 15
The Volume of a Cone
Accelerated 7
Preparation
Lesson Narrative
In this lesson students start working with cones and learn that the volume of a cone is
Next, students write the volume of a cone given a specific volume of a cylinder with the same base and height, and vice versa. Then they use the formula for the volume of a cylinder learned in previous lessons to write the general formula
In the last activity, students practice computing the volumes of some cones. They also practice critiquing a response about calculating volume to clarify its meaning, correct an error, and adding more detail (MP3).
- Calculate the volume of a cone and cylinder given the height and radius, and explain (orally) the solution method.
- Compare the volumes of a cone and a cylinder with the same base and height, and explain (orally and in writing) the relationship between the volumes.
Let’s explore cones and their volumes.
Required Preparation
Activity 1
If possible, provide students access to geometric solids with the same base and height measurements.
Activity 2
During the Launch, prepare to show a video. Alternatively, do a demonstration with a cone that could be filled with water and poured into a cylinder with matching base and height dimensions.
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