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Spheres

Spheres. Lesson 10.7. Objectives. Use formulas routinely for finding the volume of a sphere. (MG 2.1).

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Spheres

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  1. Spheres Lesson 10.7

  2. Objectives • Use formulas routinely for finding the volume of a sphere. (MG 2.1) Extension of MG2.1 Use formulas routinely for finding the perimeter and area of basic two-dimensional figures and the surface area and volume of basic three-dimensional figures, including rectangles, parallelograms, trapezoids, squares, triangles, circles,prisms, and cylinders.

  3. Words to know… • Sphere - a set of all points in space that are a given distance from a point.

  4. Formula for a Sphere V =

  5. Let’s Try One • Find the volume of the sphere Write the Formula Substitute for B and h Simplify

  6. Now You Try 10 cm 2. 12 cm 1. 4186.66 cm3 7238 cm3

  7. Now You Try (again) 8 cm 5 cm 4. 3. 2143.6 cm3 523.33 cm3

  8. Surface Area of Sphere The surface area of a sphere is four times the area of a great circle.

  9. Surface Area Find the surface area, both in terms of p and to the nearest tenth. Use 3.14 for p. Surface area of a sphere S = 4pr2 = 4p(32) Substitute 3 for r. = 36p in2113.0 in2

  10. Lesson Quiz 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 Find the surface area of each sphere, both in terms of  and to the nearest tenth. Use 3.14 for p. 85.3p ft3, 267.8 ft3 36p m3, 113.0 m3 4.d = 1.5 mi 3.r = 22 in 1936p in2, 6079.0 in2 2.25p mi2, 7.1 mi2 5.A basketball has a circumference of 29 in. To the nearest cubic inch, what is its volume? 412 in3

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