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Warm Up Find each measurement. 1. the radius of circle M if the diameter is 25 cm

Warm Up Find each measurement. 1. the radius of circle M if the diameter is 25 cm 2. the circumference of circle X if the radius is 42.5 in. 3. the area of circle T if the diameter is 26 ft 4. the circumference of circle N if the area is 625  cm 2. 12.5 cm. 85  in.

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Warm Up Find each measurement. 1. the radius of circle M if the diameter is 25 cm

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  1. Warm Up Find each measurement. 1.the radius of circle M if the diameter is 25 cm 2. the circumference of circle X if the radius is 42.5 in. 3. the area of circle T if the diameter is 26 ft 4. the circumference of circle N if the area is 625 cm2 12.5 cm 85 in. 169 ft2 50cm

  2. Surface Areas and Volumes of Spheres

  3. Spheres • A sphere is the locus of points in space that are a fixed distance from a given point called the center of a sphere. • A radius of a sphere connects the center of the sphere to any point on the sphere. • A hemisphere is half of a sphere. • A great circle divides a sphere into two hemispheres

  4. Surface Area of a Hemisphere? S = 3πr2

  5. Example: Find the surface area of the sphere. S = 2500 cm2

  6. Example: Finding Surface Area of Spheres Find the surface area of a sphere with diameter 76 cm. Give your answers in terms of . S = 4(38)2 = 5776 cm2

  7. Volume of a Hemisphere? V = 2/3πr3

  8. Example: Finding Volumes of Spheres Find the volume of the sphere. Give your answer in terms of . = 2304 in3

  9. Example: Finding Volumes of Spheres Find the volume of the hemisphere. = 2250 m3

  10. Lesson Quiz: Find each measurement. Give your answers in terms of . 1. the volume and surface area of the sphere 2. the volume and surface area of a sphere with a radius of 6 in V = 36cm3; S = 36cm2 V = 288in3; S = 144in2

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