AnswersSSCR 26 Math Essentials BIntroduction to the Volume of a Sphere

Introduction to the Volume of a Sphere — Unit test Answers

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1
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What is the volume of this rectangular prism?

Question illustration
A
30.75 cm
Option A
B
61.5 cm
Option B
C
147.6 cm
Option C
D
295.2 cm
Option D
2
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What is the area of a circle with a radius of 6 inches?

A
9 pi inches squared
Option A
B
12 pi inches squared
Option B
C
36 pi inches squared
Option C
D
81 pi inches squared
Option D
3

What is the area of a circle with a radius of 7 cm? (Use 3.14 for and round to the nearest tenth.)

Question illustration
A
38.5 centimeters squared
Option A
B
44.0 centimeters squared
Option B
C
150.0 centimeters squared
Option C
D
153.9 centimeters squared
Option D
4

What is the radius of this circle if the circumference is cm? cm

Question illustration
A
3 cm
B
9 cm
C
18 cm
D
36 cm
5

What is the volume of this triangular prism?

Question illustration
A
182 m
Option A
B
195 m
Option B
C
210 m
Option C
D
390 m
Option D
6

Silvio wants to find the perimeter of quadrilateral ABCD. He begins by computing the length of side AB using the distance formula. Finish Silvio’s work to find the length of side AB.What is the perimeter of quadrilateral ABCD?

Question illustration
A
15 units
B
17 units
C
18 units
D
20 units
7

Which statements are true about triangle XYZ? Select three options.

A
XY measures units.
Option A
B
YZ measures units.
Option B
C
ZX measures units.
Option C
D
XYZ is a right triangle.
E
XYZ is a scalene triangle.
8

A road bike has a wheel diameter of 622 mm. What is the circumference of the wheel? Use 3.14 for .

Question illustration
A
976.24 mm
B
976.54 mm
C
1,852.08 mm
D
1,953.08 mm
9

Point A lies on the circle and has an x-coordinate of 1.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Question text not available

Question illustration
A
18 + units
Option A
B
18 + units
Option B
C
18 + units
Option C
D
18 + units
Option D
11

The diameter of a circle is 4 cm. Which equation can be used to find its circumference?

A
C = pi times 2
Option A
B
C = pi times 4
Option B
C
C = StartFraction pi times 4 over 2 EndFraction
Option C
D
C = StartFraction pi times 4 over 4 EndFraction
Option D
12

What does volume measure?

A
the amount of space occupied by a two-dimensional solid object
B
the total area of all the surfaces of a three-dimensional solid object
C
the amount of space inside the boundary of a two-dimensional object
D
the amount of space occupied by a three-dimensional solid object
13

A circle has a diameter of 3 meters. Which statement about the circumference and area is true?

A
A comparison of the area and circumference is not possible since the area cannot be determined.
B
The numerical value of the circumference and area are equal.
C
The numerical value of the circumference is greater than the numerical value of the area.
D
The numerical value of the circumference is less than the numerical value of the area.
14

A circle has a diameter of 4 inches. Which statement about the area and circumference of the circle is true?

A
A comparison of the area and circumference of the circle is not possible because there is not enough information to find both.
B
The numerical values of the circumference and area are equal.
C
The numerical value of the circumference is greater than the numerical value of the area.
D
The numerical value of the circumference is less than the numerical value of the area.
15

Which equation can be used to find the volume of this solid?

Question illustration
A
V = StartFraction 7 + 6 over 2 EndFraction times 8
Option A
B
V = StartFraction 7 + 6 + 8 over 2 EndFraction
Option B
C
V = StartFraction 7 times 6 over 2 EndFraction times 8
Option C
D
V = StartFraction 7 times 6 over 2 EndFraction + 8
Option D
16

What is the circumference of the circle? Use for .

Question illustration
A
44 cm
B
55 cm
C
100 cm
D
110 cm
17

Point A lies on the circle and has an x-coordinate of –3.

Question illustration
A
Option
Option A
B
2.5
C
Option
Option C
D
2.8
18

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

Question illustration
A
radius
B
diameter
C
center
D
great circle
19

Which is the correct first step in finding the height of a cylinder with a volume of cubic inches and a radius of 8 inches?

Question illustration
A
V = pi r squared h. 8 = pi (178) squared h
Option A
B
V = pi r squared h. V = pi + (8) squared + 178 pi
Option B
C
V = pi r squared h. V = pi (8) squared (178)
Option C
D
V = pi r squared h. 178 pi = pi (8) squared h
Option D
20

Alanna is painting a border along the top of a wall. The border consists of kite-shaped figures as shown. Each kite measures 6 inches across and 12 inches long. The wall is 12 feet across. How many square inches of the wall will be covered with kites?

Question illustration
A
216
B
432
C
864
D
1,728

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