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Volume of a Cylinder

Lesson # 13

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2019 Open Up Resources |

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Let’s explore cylinders and their volume.

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Today’s Goals

I can find the volume of a cylinder in mathematical and real-world situations.
I know the formula for volume of a cylinder.

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A Circle’s Dimension

Warm Up 13.1

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Name a segment that is a radius of circle A.
What do we call a segment like BC, with endpoints on the circle that contains the center of the circle?
What is the length of segment ?

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Circular Volumes

Activity 13.2

Think Pair Share
MLR1: Stronger & Clearer Each Time

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Work independently on the problem
Share your work with your partner

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Let’s Talk About It

How are prisms and cylinders different?
How are prisms and cylinders the same?
How do you find the area of the base, B, of a cylinder?

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Are you ready for more?

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A Cylinder’s Dimensions

Activity 13.3

MLR3: Clarify, Critique, Correct

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Work independently (1-2 min)

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A Cylinder’s Volume

Activity 13.4

MLR8: Discussion Supports

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Work independently (5-6 min)

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Let’s Talk About It

How does knowing the area of a circular base help determine the volume of a cylinder?
If the cylinder were on its side, how do you know which measurements to use for the volume?
When is it better to use approximations of pi instead of leaving it exact?

Activity Synthesis

The goal of this discussion is to ensure students understand how to use the area of the cylinder’s base to calculate its volume. Consider asking the following questions:

“How does knowing the area of a circular base help determine the volume of a cylinder?” (The volume is this area multiplied by the height of the cylinder.)
“If the cylinder were on its side, how do you know which measurements to use for the volume?” (Since we need area of the base first, the radius or diameter of the circle will always be the measurement used for r , and the height is always the distance between the bases, or the measurement perpendicular to the bases. It doesn’t matter which direction the cylinder is turned.)
“When is it better to use approximations of pi instead of leaving it exact?” (Approximating pi helps us interpret an answer that has pi as a factor, like the area of a circular region or the volume of a cylindrical container.)

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Are you ready for more?

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Lesson Synthesis

How is finding the volume of a cylinder like finding the volume of a prism?

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Today’s Goals

I can find the volume of a cylinder in mathematical and real-world situations.
I know the formula for volume of a cylinder.

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Liquid Volume

Cool Down 13.5