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Learn to find the volume of spheres.

Spheres. 6-10. Course 3. Essential Question How does the volume of the earth compare to the volume of a soccer ball?. Learn to find the volume of spheres. Objective 8.G.9. Spheres. 6-10. Course 3. Vocabulary.

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Learn to find the volume of spheres.

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  1. Spheres 6-10 Course 3 Essential Question How does the volume of the earth compare to the volume of a soccer ball? Learn to find the volume of spheres. Objective 8.G.9

  2. Spheres 6-10 Course 3 Vocabulary A sphere is the set of points in three dimensions that are a fixed distance from a given point, the center. A plane that intersects a sphere through its center divides the two halves or hemispheres. The edge of a hemisphereis agreat circle.

  3. Spheres 6-10 Course 3 The volume of a hemisphere is exactly halfway between the volume of a cone and a cylinder with the same radius r and height equal to r.

  4. Spheres 6-10 Course 3

  5. Spheres 6-10 4 3 V = pr3 = p(9)3 4 3 Course 3 Additional Example 1: Finding the Volume of a Sphere Find the volume of a sphere with radius 9 cm, both in terms of p and to the nearest tenth of a unit. Volume of a sphere Substitute 9 for r. = 972p cm3 3,052.1 cm3

  6. Spheres 6-10 4 3 V = pr3 = p(3)3 4 3 Course 3 Try This: Example 1 Find the volume of a sphere with radius 3 m, both in terms of p and to the nearest tenth of a unit. Volume of a sphere Substitute 3 for r. = 36p cm3 113.0 m3

  7. Spheres 6-10 Course 3 Insert Lesson Title Here Lesson Quiz: Part 1 Find the volume of each sphere, both in terms of  and to the nearest tenth. Use 3.14 for p. 1.r = 4 ft 2.d = 6 m 85.3p ft3, 267.8 ft3 36p m3, 113.0 m3

  8. Spheres 6-10 Course 3 Insert Lesson Title Here Lesson Quiz: Part 2 5.A basketball has a circumference of 29 in. To the nearest cubic inch, what is its volume? 412 in3 United Streaming video clip – Defining properties of 3-D figures – Discovering Math: Geometry Grades 6-8

  9. Spheres 6-10 Course 3 Insert Lesson Title Here Chapter 6 Summary of Formulas 6-1 A=bh for area of a rectangle & parallelogram 6-2 A=1/2bh for area of a triangle 6-3 A=1/2h(b1+b2) for area of a trapezoid 6-4 C= d or C=2r for the circumference of a circle 6-6 V=Bh or V = r2h for volume of a cylinder Note: Capital B stands for the area of the base!

  10. Spheres 6-10 Course 3 Insert Lesson Title Here Chapter 6 Summary of Formulas con’t 6-7 V=1/3Bh or V=1/3r2h for the volume of a cone 6-10 V=(4/3)r3 for the volume of a sphere and S=4r2 for the surface area of a sphere KNOW ALL OF THESE FORMULAS…. YOU WILL BE TESTED ON THEM FROM NOW TO MAY!

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