AnswersOC27 MATH COLL LIB ARTS-1207350-S1-Maguire-DAquinoVolume of Cylinders, Cones, and Spheres

Volume of Cylinders, Cones, and Spheres — Unit test Answers

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Which three-dimensional figure has exactly three rectangular faces?

A
rectangular prism
B
rectangular pyramid
C
triangular prism
D
triangular pyramid
22
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A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters.

Question illustration
A
9x2 + 7x
B
14x2 + 7x
C
16x2 + 14x
D
28x2 + 14x
24

The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?

A
π cm3
Option A
B
8π cm3
C
π cm3
Option C
D
16π cm3
25

Which three-dimensional figure has the greatest number of faces?

A
hexagonal prism
B
octagonal pyramid
C
rectangular prism
D
pentagonal pyramid
26

The equilateral triangle shown is rotated about line a. Each side of the triangle measures 20 mm.

Question illustration
A
a cylinder with a circumference of about 63 mm
B
a cylinder with a circumference of about 126 mm
C
a cone with a base circumference of about 63 mm
D
a cone with a base circumference of about 126 mm
27

Two different cross sections are taken parallel to the base of a three-dimensional figure. The two cross sections are the same shape, but are not congruent.Which could be the three-dimensional figure? Select three options.

A
cone
B
cylinder
C
triangular prism
D
triangular pyramid
E
square pyramid
28

The perimeter of the rectangle shown is 76 cm. It is rotated about line b.

Question illustration
A
a cone with a base radius of 26 cm
B
a cone with a base radius of 14 cm
C
a cylinder with a base radius of 26 cm
D
a cylinder with a base radius of 14 cm
29

Which three-dimensional figure has nine edges?

A
rectangular prism
B
rectangular pyramid
C
triangular prism
D
triangular pyramid
30

The area of rectangle ABDE is 270 square inches. The rectangle is rotated about a line that passes through points C and F.

Question illustration
A
a rectangular prism with an edge length of 9 inches
B
a rectangular prism with an edge length of 18 inches
C
a cylinder with a base radius of 9 inches
D
a cylinder with a base radius of 18 inches
31

How many vertices does a triangular prism have?

A
4
B
5
C
6
D
9
32

Quadrilateral ABDE is a rectangle. DE = 4 in. and BD = 6 in.If the rectangle is rotated about a line through CF, cylinder Y is created. If the rectangle is rotated about a line through GH, cylinder Z is created.

Question illustration
A
1
B
2
C
4
D
5
33

Which shape has a vertex that is also an apex?

A
sphere
B
prism
C
cylinder
D
pyramid
34

A cylinder is shown.

Question illustration
A
line
B
non-square rectangle
C
circle
D
square
35

The square shown has a perimeter of 32 units. The square is rotated about line k.

Question illustration
A
a cone with a base circumference of about 25 units
B
a cone with a base circumference of about 50 units
C
a cylinder with a circumference of about 25 units
D
a cylinder with a circumference of about 50 units
36

Which pair of figures has the same number of faces as vertices?

A
triangular prism and triangular pyramid
B
triangular prism and rectangular prism
C
rectangular pyramid and triangular pyramid
D
rectangular pyramid and rectangular prism
37

The triangle shown is rotated about line m.

Question illustration
A
38 sq. cm
B
113 sq. cm
C
201 sq. cm
D
314 sq. cm
38

The rectangle shown is rotated about line k.

Question illustration
A
31 sq. in.
B
50 sq. in.
C
79 sq. in.
D
314 sq. in.
39

The large sphere has a diameter of 12 feet.

Question illustration
A
252π ft3
B
261π ft3
C
288π ft3
D
324π ft3
40

A cylinder has a radius of 2.8 inches and a height of 2.4 inches. Which cylinder is similar?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
41

Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters.

Question illustration
A
144π mm3
B
168π mm3
C
312π mm3
D
456π mm3

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