AnswersSSCR 26 Math Essentials BIntroduction to the Volume of a Sphere

Introduction to the Volume of a Sphere Answers

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1
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A sphere has a diameter of 10 in. What is the volume of the sphere?

A
V = StartFraction 125 Over 3 EndFraction inches cubed
Option A
B
V = StartFraction 500 Over 3 EndFraction inches cubed
Option B
C
V = StartFraction 500 Over 3 EndFraction pi inches cubed
Option C
D
V = StartFraction 4,000 Over 3 EndFraction pi inches cubed
Option D
2
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Point C represents the center of the sphere. What is the name for the part of the sphere labeled A?

Question illustration
A
diameter
B
great circle
C
center
D
radius
3

A sphere has radius of 3 cm. What is the volume of the sphere?

A
V = 9 pi centimeters cubed
Option A
B
V = 36 pi centimeters cubed
Option B
C
V = 108 pi centimeters cubed
Option C
D
V = 288 pi centimeters cubed
Option D
4

A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of .

Question illustration
Answer not available
5

A sphere has a diameter of 8 cm. Which statements about the sphere are true? Check all that apply.

A
The sphere has a radius of 4 cm.
B
The sphere has a radius of 16 cm.
C
The diameter’s length is twice the length of the radius.
D
The radius’s length is twice the length of the diameter.
E
The volume of the sphere is .
Option E
F
The volume of the sphere is .
Option F
6

A sphere and a cylinder have the same radius and height. The volume of the cylinder is . Amie found the volume of the sphere.Her work is shown below.What is Amie’s error?

Question illustration
A
Amie should have multiplied 54 by .
Option A
B
Amie should have multiplied 54 by .
Option B
C
Amie should have multiplied 54 by .
Option C
D
Amie should have multiplied 54 by .
Option D
7

A sphere and a cylinder have the same radius and height. The volume of the cylinder is .Which equation gives the volume of the sphere?

Question illustration
A
V = two-thirds (27 pi)
Option A
B
V = four-thirds (27)
Option B
C
V = two-thirds (27)
Option C
D
V = four-third (27 pi)
Option D
8

What is the name of part B in the sphere below?

Question illustration
A
radius
B
diameter
C
center
D
great circle
9

A sphere has a radius of 16 in. Which statements about the sphere are true? Check all that apply.

A
The sphere has a diameter of 8 in.
B
The volume of the sphere is .
Option B
C
The sphere has a diameter of 32 in.
D
The radius’s length is one-half the length of the diameter.
E
The volume of the sphere is .
Option E
F
The diameter’s length is one-half the length of the radius.
10

A sphere and a cylinder have the same radius and height. The volume of the cylinder is .What is the volume of the sphere?

Question illustration
A
12 centimeters cubed
Option A
B
24 centimeters cubed
Option B
C
36 centimeters cubed
Option C
D
54 centimeters cubed
Option D

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