Date: 12.6 Notes: Spheres Lesson Objective: Find the surface area volume of spheres. CCSS: G.GMD.1, 3 You will need: calculator Real-World App: What was.

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Presentation transcript:

Date: 12.6 Notes: Spheres Lesson Objective: Find the surface area volume of spheres. CCSS: G.GMD.1, 3 You will need: calculator Real-World App: What was the circumference of the globe at the 2006 World Cup? This is Jeopardy!!!: The volume of a cone with base circumference 8π m and height 5 m more than ½ the radius. Give the exact answer in terms of π.

Lesson 1: The Anatomy of a Sphere A.The earth is cut into two parts. What are the two parts? B.What cuts the earth into the two parts? C.What is the shape of the largest cross section made through the center of the earth?

Lesson 1: The Anatomy of a Sphere Sphere: The locus of points in space that are a fixed distance from a given point called the center of a sphere. Hemisphere: Half of a sphere. Great Circle: The circle that divides a sphere into 2 hemi- spheres.

Lesson 2: The Surface Area of a Sphere Surface Area of Sphere, S: Equals the area of 4 circles S sphere = 4πr 2

Lesson 2: The Surface Area of a Sphere Surface Area of Sphere, S: Equals the area of 4 circles S sphere = 4πr 2 Find the surface area of the sphere in terms of π and rounded to the nearest hundredth.

Lesson 3: The Volume of a Sphere Volume of Sphere, V: The sum of pyramids that make up a sphere V sphere = 4 / 3 πr 3

Lesson 3: The Volume of a Sphere V sphere = 4 / 3 πr 3

Lesson 3: The Volume of a Sphere Find the volume of the sphere from Lesson 2 in terms of π and rounded to the nearest hundredths.

Lesson 4: Using the Great Circle A.Find the surface area and volume.

Lesson 4: Using the Great Circle B.The surface area and volume of a sphere with a great circle that has an area of 49π mi 2.

Lesson 5: Using the Volume to Solve a Real Life App

12.6: Do I Get It? Yes or No 1.Find the surface area and the volume of the hemisphere. 2.Find the volume and surface area of the sphere to the right. 3.Find the volume of an ice cream cone if it has a diameter of 2” and height of 6” AND has a scoop of ice cream with diameter of 3” on top.