Surface Area and Volume of Sphere

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Diego Wed, Mar 16, 2022 01:23 PM UTC

In this pdf we will learn about surface area and volume of sphere. The formula for the volume of a sphere is V = 4/3 πr^3. The formula of total surface area of a sphere in terms of pi (π) is given by: Surface area = 4π r^2 square units.

1. 10-8 Vocabulary
 Sphere
 Center of a sphere
 Radius of a sphere
 Hemisphere
 Great circle

2. 10-8 Spheres
Geometry

3. Sphere
 Sphere – is the locus of points in space that are
a given distance from a point. The point is
called the “center of the sphere”.
 Radius – a segment from the center to a point
on the sphere.
 Chord of a sphere – a segment whose
endpoints are on the sphere
 Diameter – a chord that contains the center

4. Volume of a Sphere
4 3
V  r
3

5. Example 1A
 Find
the volume of the sphere. Give your
answers in terms of π.
d = 24 in

6. Example 1B
 Findthe diameter of a sphere with volume
36,000π cm³

7. More Definitions
 Ifa plane intersects a sphere and contains
the center, then the intersection is called a
great circle. Every great circle of a
sphere separates a sphere into two
congruent halves called hemispheres.

8. Example 2
 Findthe volume of the hemisphere with
radius of 15 m.

9. Surface Area of a Sphere
2
S . A. 4r

10. Example 3A
Find the surface area of a sphere with a diameter of 76 cm.
What is the surface area of the sphere?

11. Example 3B
 Findthe volume of the sphere with a
surface area of 324π in².

12. Example 4
 Find
the surface area & volume of the
composite figure. Give your answers in
terms of π.

13. Assignment

14. Ex. 2
 Find the volume of the hemisphere

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