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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

Sphere

Center of a sphere

Radius of a sphere

Hemisphere

Great circle

2.
10-8 Spheres

Geometry

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

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

4 3

V r

3

5.
Example 1A

Find

the volume of the sphere. Give your

answers in terms of π.

d = 24 in

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

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.

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.

Findthe volume of the hemisphere with

radius of 15 m.

9.
Surface Area of a Sphere

2

S . A. 4r

2

S . A. 4r

10.
Example 3A

Find the surface area of a sphere with a diameter of 76 cm.

What is the surface area of the sphere?

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.

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.

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

Find the volume of the hemisphere