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Spheres and Cylinders Volume. A sphere is made out of clay and is placed in a cylinder. The diameter of the sphere is the same as the height and diameter.

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Presentation on theme: "Spheres and Cylinders Volume. A sphere is made out of clay and is placed in a cylinder. The diameter of the sphere is the same as the height and diameter."— Presentation transcript:

1 Spheres and Cylinders Volume

2 A sphere is made out of clay and is placed in a cylinder. The diameter of the sphere is the same as the height and diameter of the cylinder.

3 Suppose the clay is flattened within the cylinder.

4 Suppose the height of the cylinder is 2 inches tall. 2 inches What do you think is the height of the clay (X) and of the empty space (Y) created by the clay? X Y

5 Find the volume of the cylinder and the sphere. 2 inches Volume of the Cylinder = 6.28 inches cubed Volume of the Sphere = 4.1762 inches cubed

6 2 inches

7 What is the relationship between a cylinder and a sphere?

8 Practice A playground ball has a diameter of 18 cm. Find the volume of the ball. If you created a cylinder that fits around the playground ball, find the volume and surface area of the cylinder.


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