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8.6

8.6. What’s the Relationship? pg. 17 Surface Area and Volume of a Sphere. 8.6 – What Is The Relationship? Surface Area and Volume of Spheres.

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8.6

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  1. 8.6 What’s the Relationship? pg. 17 Surface Area and Volume of a Sphere

  2. 8.6 – What Is The Relationship? Surface Area and Volume of Spheres This lesson will complete the three-dimensional formulas. You will learn about a new shape that you encounter often in your daily life: a sphere. You will also make connections between a cylinder, a cone, and a sphere with the same radius and height.

  3. 8.28 – BUBBLES Alonzo was blowing bubbles to amuse his little sister. He wondered, "Why are bubbles always perfectly round?“ a. Discuss Alonzo's question with the class. Why are free-floating bubbles always shaped like a perfectly round ball? Equal pressure pushing on all sides

  4. b. The shape of a bubble is called a sphere. What other objects are shaped like a sphere? Baseball, basketball, globe c. What shape two-dimensional shape is related to spheres? circle

  5. 8.29 – SURFACE AREA OF A SPHERE Alonzo was interested in finding the surface area of a sphere. He noticed that when he wrapped a cylinder around a sphere, it has the same surface area. Assume the length and height are the same for the cylinder and sphere. Find the surface area of the sphere, given the radius of r.

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  7. 8.30 – SURFACE AREA OF A SPHERE Find the surface area of the following spheres. Show all work. Leave answers in terms of pi.

  8. 8.31 – VOLUME OF A SPHERE Alonzo was interested in finding the volume of a sphere. He filled a sphere full of water. Then he placed it into a cylinder with the same height. He noticed that it took 2/3 the volume of the cylinder. Find the formula for the volume of a sphere.

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  10. 8.32 –VOLUME OF A SPHERE Using what you have learned, find the volume of the spheres.

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