11.6 surface area and volumes of spheres a sphere is a set of all points in space equidistant from a...
TRANSCRIPT
![Page 1: 11.6 Surface Area and Volumes of Spheres A sphere is a set of all points in space equidistant from a given point called the center. A radius is a segment](https://reader035.vdocument.in/reader035/viewer/2022070308/551c5ada550346a66a8b50e8/html5/thumbnails/1.jpg)
11.6 Surface Area and Volumes of Spheres• A sphere is a set of all points in space equidistant
from a given point called the center.• A radius is a segment that has one endpoint at the
center and the other endpoint on the sphere.• A diameter is a segment passing through the center
with endpoints on the sphere.
![Page 2: 11.6 Surface Area and Volumes of Spheres A sphere is a set of all points in space equidistant from a given point called the center. A radius is a segment](https://reader035.vdocument.in/reader035/viewer/2022070308/551c5ada550346a66a8b50e8/html5/thumbnails/2.jpg)
11.6 Surface Area and Volumes of Spheres• When a plane and a sphere intersect in more than one
point, the intersection is a circle. If the center of the circle is also the center of the sphere, it is called a great circle.
• The circumference of a great circle is the circumference of the sphere.
• A great circle divides a sphere into two hemispheres.
![Page 3: 11.6 Surface Area and Volumes of Spheres A sphere is a set of all points in space equidistant from a given point called the center. A radius is a segment](https://reader035.vdocument.in/reader035/viewer/2022070308/551c5ada550346a66a8b50e8/html5/thumbnails/3.jpg)
Theorem 11.10 Surface Area of a Sphere
• The surface area of a sphere is four times the product of pi and the square of the radius of the sphere.
2. . 4S A r
![Page 4: 11.6 Surface Area and Volumes of Spheres A sphere is a set of all points in space equidistant from a given point called the center. A radius is a segment](https://reader035.vdocument.in/reader035/viewer/2022070308/551c5ada550346a66a8b50e8/html5/thumbnails/4.jpg)
Finding the Surface Area of a Sphere• What is the surface area of the sphere in terms
of pi?
24 (5)4 (25)100
2100 m
![Page 5: 11.6 Surface Area and Volumes of Spheres A sphere is a set of all points in space equidistant from a given point called the center. A radius is a segment](https://reader035.vdocument.in/reader035/viewer/2022070308/551c5ada550346a66a8b50e8/html5/thumbnails/5.jpg)
Theorem 11.11 Volume of a Sphere• The volume of a sphere is four thirds the
product of pi and the cube of the radius of the sphere.
34
3V r
![Page 6: 11.6 Surface Area and Volumes of Spheres A sphere is a set of all points in space equidistant from a given point called the center. A radius is a segment](https://reader035.vdocument.in/reader035/viewer/2022070308/551c5ada550346a66a8b50e8/html5/thumbnails/6.jpg)
Finding the Volume of a Sphere• What is the volume of the sphere in terms of
pi?
34
3V r
34(6)
3
2883288 m
![Page 7: 11.6 Surface Area and Volumes of Spheres A sphere is a set of all points in space equidistant from a given point called the center. A radius is a segment](https://reader035.vdocument.in/reader035/viewer/2022070308/551c5ada550346a66a8b50e8/html5/thumbnails/7.jpg)
More Practice!!!!!
• Homework – Textbook p. 737 #6 – 22 even.