Lesson 2 Cone of Silence Lesson 2 Cone

LEARNING GOALS • Explore the volume of a cone using a cylinder. • Write

KEY TERMS • cone • Height of a cone Lesson 2: Cone of Silence

A cone is a three-dimensional object with a circular or oval base and one

The height of a cone is the length of a line segment drawn from

In previous courses, you explored how the volume of a pyramid is related to

Analyze the pyramids shown. 1. What pattern do you see as the number of

Because cones and pyramids are similar in composition, their volumes are calculated in similar

Use what you know about the volume of a cone to solve each problem.

1. Joel owns a frozen yogurt and fruit smoothie shop. He just placed an

3. Calculate the volume of each cone. Round your answers to the nearest hundredth,

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Lesson 2: Cone of Silence

LEARNING GOALS • Explore the volume of a cone using a cylinder. • Write formulas for the volume of a cone. • Use the formula for the volume of a cone to solve real-world and mathematical problems. Lesson 2: Cone of Silence

KEY TERMS • cone • Height of a cone Lesson 2: Cone of Silence

A cone is a three-dimensional object with a circular or oval base and one vertex. 1. Sketch an example of a cone. Explain how your sketch fits the definition of a cone. Lesson 2: Cone of Silence

The height of a cone is the length of a line segment drawn from the vertex to the base of the cone. In a right cone, this line segment is perpendicular to the base. 4. Identify the radius, diameter, and height of each cone. Lesson 2: Cone of Silence

In previous courses, you explored how the volume of a pyramid is related to the volume of a prism. Let’s explore how the volume of a cone is related to the volume of a cylinder. You can use nets to investigate this relationship. Lesson 2: Cone of Silence

Analyze the pyramids shown. 1. What pattern do you see as the number of sides of the base increases? Lesson 2: Cone of Silence

Because cones and pyramids are similar in composition, their volumes are calculated in similar ways. 2. Write the formula for the volume of any right pyramid. V = 1/3 Bh B = area of the base Lesson 2: Cone of Silence

Lesson 2: Cone of Silence

Use what you know about the volume of a cone to solve each problem. Lesson 2: Cone of Silence

1. Joel owns a frozen yogurt and fruit smoothie shop. He just placed an order for cones, and the order contains three different sizes of cones. He wants to know the volume of each cup to help him determine how much to charge for each cone. c. If Joel’s market research reveals that he should charge $3. 75 for the smallest cone, what prices would you propose for the other two cones? Explain your reasoning. Lesson 2: Cone of Silence

3. Calculate the volume of each cone. Round your answers to the nearest hundredth, if necessary. Lesson 2: Cone of Silence

Lesson 2: Cone of Silence