AnswersFoundations of Math 1Introduction to the Volume of a Sphere

Introduction to the Volume of a Sphere — Quiz Answers

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1
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Lianne drew a sphere with a radius of 7 inches She calculated its volume as follows. ? over 3 pi in cubed What value should be multiplied by pi in the numerator to correctly show the volume of the sphere?

Answer:

1372

2
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A sphere has a diameter of 12 feet What is the volume of the sphere? Give the exact value in terms of pi

Answer:

288\pi

3

The diameter of a sphere is

A
a three-dimensional circle in which all points are equidistant from a fixed point.
B
a chord that passes through the center of the sphere.
C
a fixed point equidistant from all points on the surface of the sphere.
D
a line segment from the center point to a point on the sphere.
4

A sphere has a radius of 16 inches Which statements about the sphere are true? Choose three correct answers.

A
The volume of the sphere is the fraction with numerator 2 comma 048 and denominator 3 pi in cubed .
B
The radius’s length is one-half the length of the diameter.
C
The volume of the sphere is the fraction with numerator 16 comma 384 and denominator 3 pi in cubed .
D
The diameter’s length is one-half the length of the radius.
E
The sphere has a diameter of 32 inches .
F
The sphere has a diameter of 8 inches .
5

A sphere has a radius of 4 in. Which equation finds the volume of the sphere?

A
cap v is equal to 4 thirds times 4 cubed
B
cap v is equal to 4 thirds pi 4 cubed
C
cap v is equal to 2 thirds times 8 cubed
D
cap v is equal to 2 thirds pi 8 cubed
6

A sphere has radius of 3 centimeters What is the volume of the sphere?

A
cap v is equal to 288 pi cm cubed
B
cap v is equal to 36 pi cm cubed
C
cap v is equal to 108 pi cm cubed
D
cap v is equal to 9 pi cm cubed
7

What is the exact volume of a sphere with diameter 12 meters? Do not round π Enter your answer in the box.

Answer:

288\pi

8

A sphere has a diameter of 8 centimeters Which statements about the sphere are true? Choose three correct answers.

A
The volume of the sphere is 256 thirds pi cm cubed .
B
The radius’s length is twice the length of the diameter.
C
The volume of the sphere is 2048 thirds pi cm cubed .
D
The sphere has a radius of 16 cm.
E
The diameter’s length is twice the length of the radius.
F
The sphere has a radius of 4 centimeters .
9

A sphere has a diameter of 10 inches What is the volume of the sphere?

A
cap v is equal to 500 thirds pi in cubed
B
cap v is equal to 125 thirds in cubed
C
cap v is equal to 4000 thirds pi in cubed
D
cap v is equal to 500 thirds in cubed
10

Which statement about a sphere is true?

A
The center of a sphere is created from a plane that passes through the sphere.
B
The great circle of a sphere is a three-dimensional circle.
C
The great circle of a sphere is not the same shape as the base of a cone.
D
The length of the diameter of a sphere is two times the length of the radius of the sphere.

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