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# 7th Grade Math / Lesson 5: Volumes: Cylinder

 Volumes 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.

 Volumes 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.

 Volumes 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.

 Volumes 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.