18.4: volume of spheres - mathrocks - ann...

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18_4 volume of spheres.notebook 1 May 31, 2018 Vocabulary Sphere: Great Circle: Circumference: Hemisphere: 18.4: Volume of Spheres

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Page 1: 18.4: Volume of Spheres - Mathrocks - Ann Blythephsblythe.weebly.com/uploads/5/9/9/1/59912995/18_4_class_note.pdf · 18_4 volume of spheres.notebook 3 May 31, 2018 Example 2: The

18_4 volume of spheres.notebook

1

May 31, 2018

Vocabulary

Sphere:

Great Circle:

Circumference:

Hemisphere:

18.4: Volume of Spheres

Page 2: 18.4: Volume of Spheres - Mathrocks - Ann Blythephsblythe.weebly.com/uploads/5/9/9/1/59912995/18_4_class_note.pdf · 18_4 volume of spheres.notebook 3 May 31, 2018 Example 2: The

18_4 volume of spheres.notebook

2

May 31, 2018

Example 1:

Find the volume of a sphere with a great circle that has an area

            cm3          

Page 3: 18.4: Volume of Spheres - Mathrocks - Ann Blythephsblythe.weebly.com/uploads/5/9/9/1/59912995/18_4_class_note.pdf · 18_4 volume of spheres.notebook 3 May 31, 2018 Example 2: The

18_4 volume of spheres.notebook

3

May 31, 2018

Example 2:

The figure shows a grapefruit half. The radius to the outside of the rind is 5 cm. The radius to the inside of the rind is 4 cm. The edible part of the grapefruit is divided into 12 equal sections. Find the volume of the half grapefruit and the volume of one edible section. Give your answers in terms of π.

Page 4: 18.4: Volume of Spheres - Mathrocks - Ann Blythephsblythe.weebly.com/uploads/5/9/9/1/59912995/18_4_class_note.pdf · 18_4 volume of spheres.notebook 3 May 31, 2018 Example 2: The

18_4 volume of spheres.notebook

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May 31, 2018

Example 3:Ganymede, one of Jupiter’s moons, has a radius of 1640 mi. The radius of the Earth’s moon is 1080 miles. Approximately how many times as great is the volume of Ganymede as the volume of the Earth’s moon?

Page 5: 18.4: Volume of Spheres - Mathrocks - Ann Blythephsblythe.weebly.com/uploads/5/9/9/1/59912995/18_4_class_note.pdf · 18_4 volume of spheres.notebook 3 May 31, 2018 Example 2: The

18_4 volume of spheres.notebook

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May 31, 2018

Example 4:

Find the volume of the composite figure.

Page 6: 18.4: Volume of Spheres - Mathrocks - Ann Blythephsblythe.weebly.com/uploads/5/9/9/1/59912995/18_4_class_note.pdf · 18_4 volume of spheres.notebook 3 May 31, 2018 Example 2: The

18_4 volume of spheres.notebook

6

May 31, 2018

Example 5:

Find the volume of the composite figure.