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# Volume Of Cylinders Using a Formula

Lesson 33 of 37

## Objective: SWBAT find the volume of cylinders using a formula

*40 minutes*

#### Hook

*5 min*

I will display an image of a circle with a radius of 3 units on the SmartBoard. I’ll ask students to think how we could determine the number of unit cubes that could fit on the circle. This is to remind students that we know how to find the area of a circle. Next I will show a cylinder whose base has a radius of 3 units. Then, I'll ask how many layers of unit cubes can fit. This is a short recap of the work we have already done with prisms.

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#### Guided Practice

*10 min*

I made sure to include cylinders with radii given and diameters given so that students have a chance to use the wrong value. When they do make this mistake, I will tell them: “It’s okay. I put that problem there on purpose to trip you up!”. On GP5 I purposely ask students not to calculate the volumes to compare the cylinder to the cube. I want them to have to explain using reasoning only. (**MP3**).

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#### Independent Practice

*10 min*

The first 4 problems mirror the guided practice. Problem number 5 requires a bit of proportional reasoning. I will have students work independently for at least the first few minutes; at least for problems 1-4. I can use this as another check for understanding. The extension problems provide more opportunities to enhance a student's problem solving abilities (**MP1**). Problem 7 is not too difficult but problem 8 can be quite tricky. Here, I think the easiest solution is to use the surface area formula as a model to help find the height of the cylinder so that the volume can be calculated. (**MP4**).

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#### Exit Ticket

*5 min*

There are 4 problems on the exit ticket. The first problems asks students to explain how to find the volume of a cylinder in two steps. The second and third problems simplify ask students to find the volume of the given cylinders with a radius and then a diameter given respectively. The last question requires that students find the height of the cylinder given its volume and diameter.

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- LESSON 1: Explore Perimeter and Area of Composite Shapes
- LESSON 2: Perimeter of Irregular Rectilinear Shapes
- LESSON 3: Area of Composite Shapes Using a Grid
- LESSON 4: Area of Composite Shapes
- LESSON 5: Area of Regions Formed by Inscribed Shapes
- LESSON 6: CORNERSTONE:Circle Ratios: Diameter to Radius; Circumference to Diameter
- LESSON 7: CORNERSTONE: Circumference Formula
- LESSON 8: Area of a Circle
- LESSON 9: Circumference & Area Fluency Practice
- LESSON 10: Finding the Radius From a Given Circumference or Area
- LESSON 11: Circumference from Area / Area from Circumference
- LESSON 12: Circle Designs: Finding the Area and Perimeter of Shapes Composed of Arcs and Line Segments
- LESSON 13: Assessment_Area and Perimeter (Circumference) of Composite Shapes and Circles
- LESSON 14: Drawing Prisms & Pyramids
- LESSON 15: Describe Prisms and Pyramids Using Algebra
- LESSON 16: Using Nets to Find the Surface Area of Prisms
- LESSON 17: Using a Formula to Find the Surface Area of Prisms
- LESSON 18: Finding the surface area of triangular prisms using a net
- LESSON 19: Finding the Surface Area of a Triangular Prism Using A Formula
- LESSON 20: Discovering the Formula for the Surface Area of A Cylinder
- LESSON 21: Finding the Surface Area of Cylinders Using a Formula
- LESSON 22: Practice Day: Surface Area of Prisms & Cylinders
- LESSON 23: Surface Area of Prisms and Cylinders Assessment
- LESSON 24: Finding the Surface Area of Pyramids Using Nets
- LESSON 25: Finding the Surface Area of Pyramids Using a Formula
- LESSON 26: Surface Area of Composite Shapes
- LESSON 27: Surface Area of Composite Shapes With Holes
- LESSON 28: Surface Area Assessment
- LESSON 29: 3-D Models from 2-D Views
- LESSON 30: Exploring Volume and Surface Area with Unifix Cubes
- LESSON 31: Explore Volume of Rectangular Prisms
- LESSON 32: Find the Volume of Prisms Using a Formula
- LESSON 33: Volume Of Cylinders Using a Formula
- LESSON 34: Volume of Composite Shapes
- LESSON 35: Volume and Surface Area - Accelerated Math Fluency Day
- LESSON 36: Volume of Pyramids
- LESSON 37: Surface Area and Volume Final Assessment