AnswersMathematical Models with Applications - MA4072 CRSurface Area

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Find the volume of the large solid without the smaller solid. The solid is a right solid and is not drawn to scale. Round answers to the tenths place.

Question illustration
A
310.86 in3
B
2210.56 in3
C
2521.42 in3
D
1899.7 in3
2
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Cylinder A has radius 1 m and height 4 m. Cylinder B has radius 2 m and height 4 m. Find the ratio of the volume of cylinder A to the volume of cylinder B.

A
5 : 6
B
1 : 4
C
1 : 2
D
1 : 1
3

To decorate the area around the pool with flowers, your neighbor purchases conical urns of radius 1.5 ft and height 3 ft. How much soil must he buy to fill each urn?

A
2.07 cu. ft per urn
B
7.07 cu. ft per urn
C
8.07 cu. ft per urn
D
27.07 cu. ft per urn
4

A rectangular box which is 4 in. by 7 in. by 7 in. is covered by foil. How much foil is required?

A
161 sq. in.
B
105 sq. in.
C
196 sq. in.
D
210 sq. in.
5

What is the volume of a cone with the given dimensions?Diameter = 14 cm.; Height = 2 cm.Round the answer to the nearest hundredth. Use 3.14 for pi.

A
554.15 cu. cm
B
102.57 cu. cm
C
404.15 cu. cm
D
764.15 cu. cm
6

Mount Rushmore is a sculpture that was carved using a model with a scale of 1 in :1 ft. If the model of George Washington’s face was 5 ft, how tall was the face on the actual sculpture?

A
5 ft
B
40 ft
C
60 ft
D
72 ft
7

Find the surface area of a rectangular prism.

Question illustration
A
2468 sq. ft
B
6240 sq. ft
C
1234 sq. ft
D
1844 sq. ft
8

Find the surface area of a cylinder with the following dimensions. Use 3.14 for . Round your answer to the nearest tenth. d = 11.4 cm, h = 4.4 cm

Question illustration
A
517.2 sq. cm
B
361.5 sq. cm
C
723.6 sq. cm
D
294.5 sq.cm
9

Find the volume of the given prism. Round to the nearest tenth if necessary.

Question illustration
A
967 ft3
B
945 ft3
C
980 ft3
D
890 ft3
10

The volume of a basketball is 448.92 cubic inches, and the volume of a baseball is 12.77 cubic inches. How many times larger is the volume of the basketball compared to the volume of a baseball?

A
46
B
53
C
27
D
35
11

Determine the volume of a sphere with a radius of 0.84 inch. Round your answer to the nearest hundredth.

A
5.48 cu. in
B
7.48 cu. in
C
9.48 cu. in
D
2.48 cu. in
12

A map has a scale of 2 inches = 20 kilometers. If the distance between two cities on the map is 10 inches, what is the actual distance between the cities?

A
120 km
B
150 km
C
100 km
D
10 km
13

Find the volume.

Question illustration
A
50 m3
B
45 m3
C
30 m3
D
12 m3
14

Find the volume of the sphere. Use 3.14 for . Round your answer to the nearest thousandth.

Question illustration
A
65.417 cu. ft
B
36.797 cu. ft
C
26.167 cu. ft
D
523.333 cu. ft
15

Find the volume. Round your answer to the nearest hundredth.

Question illustration
A
45.01 m3
B
17.27 m3
C
171.40 m3
D
None of these
16

A model of a car is 4 inches long. If the actual car is 10 feet long, find the scale of the model.

A
4 in = 2 ft
B
1 in = 2 ft
C
2 in = 5 ft
D
2 in = 10 ft
17

If 1 inch represents 75 miles on a map, then how many inches will represent 3000 miles?

A
20
B
40
C
12
D
14
18

Find the volume.

Question illustration
A
50 m3
B
45 m3
C
30 m3
D
12 m3
19

Find the volume of the cylinder. Use 3.14 for . Round your answer to the nearest tenth.

Question illustration
A
502.4 in3.
B
125.6 in3.
C
2009.6 in3.
D
251.2 in3.
20

What is the surface area of a cylinder with the given dimensions? Express your answer to nearest hundredth. Use 3.14 for pi.Radius = 8 cm.; Height = 12 cm.

A
980.45 sq. cm
B
1280.34 sq.cm
C
876.34 sq.cm
D
1004.80 sq. cm

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