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7th Grade Math / Lesson 5: Volumes: Cylinder

What will we be learning in this lesson?

  • In this lesson you will look at how to find the volumes of a cylinder.
Vocabulary words are found in this purple color throughout the lesson. Remember to put these in your notebook.


  • The volume of an object is the space inside of the object.

  • In this section we will look at the volumes of cylinders.

  • A cylinder is an object that has circular bases. A can of soup is a cylinder. The height of the cylinder is the distance between the two circular bases.


  • The volume of a cylinder is found by taking the area of one of the circular bases and multiplying it by the height of the object.

  • Take a look at this cylinder

  • If the area of the circle base is 6 square inches and the height is 4 inches, find the volume.

  • Volume = area of base * height = 6 * 4 = 24 cubic inches.


  • Find the area of this cylinder. The radius is 3 cm and the height is 5 cm.

  • The area of the circle base is p * radius2
                                                    p * 3 2 = 9 p = 28.26 square cm

  • Now take this area of the base and multiply it by the height of the cylinder.

    28.26 * 5 = 141.3 cubic cm

  • Can you find the volume of a pyramid and prism?
  • Go back to the classroom to get to your homework and any other items you need to attend to.