AnswersPre-Algebra BIntroduction to the Volume of a Sphere

Introduction to the Volume of a Sphere Answers

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1
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Kayla says that the point labeled C in the diagram below is the center. Raymond says that point C is the radius.Who is correct and why?

Question illustration
A
Kayla is correct; the center is a fixed point in the middle of the sphere.
B
Kayla is correct; the center is a line segment from the center to the surface of the sphere.
C
Raymond is correct; the radius is the fixed point in the middle of the sphere.
D
Raymond is correct; the radius is a chord that is from the center to the surface of the sphere.
2
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A sphere has a radius of 4 in. Which equation finds the volume of the sphere?

A
V = four-thirds pi (4) cubed
Option A
B
V = four-thirds (4) cubed
Option B
C
V = two-thirds (8) cubed
Option C
D
V = two-thirds pi (8) cubed
Option D
3

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
4

The diameter of a sphere is

A
a chord that passes through the center of the sphere.
B
a fixed point equidistant from all points on the surface of the sphere.
C
a line segment from the center point to a point on the sphere.
D
a three-dimensional circle in which all points are equidistant from a fixed point.
5

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
6

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
10 meters cubed
Option A
B
20 meters cubed
Option B
C
30 meters cubed
Option C
D
40 meters cubed
Option D
7

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

Question illustration
A
radius
B
diameter
C
center
D
great circle
8

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
9

The center of a sphere is

A
a line segment from the center point to the surface of the sphere.
B
a fixed point equidistant from all points on the surface of the sphere.
C
a three-dimensional circle in which all points are equidistant from a fixed point.
D
the same as the base of the sphere.
10

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 = four-thirds (11) pi
Option A
B
V = two-thirds (11) pi
Option B
C
V = four-thirds (11)
Option C
D
V = two-thirds (11)
Option D

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