AnswersMathematical Models with Applications - MA4072 CRSurface Area

Volume of Spheres and Cones Answers

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1
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A funnel is shaped approximately like a cone. The diameter of the base is 6 inches. The height is 10 inches. What is the approximate volume of the funnel? Use 3.14 for pi, and round to the nearest tenth.

A
94.2 in.3
B
18.8 in.3
C
226.1 in.3
D
28.3 in.3
2
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Find the volume of the specified cone. Use 3.14 for , and round your answer to the nearest whole number. Diameter = 3 cm, Height = 4 cm

Question illustration
A
57 cu. cm
B
25 cu. cm
C
38 cu. cm
D
9 cu. cm
3

What is the volume of a cone with the given dimensions?Radius = 7 cm.; Height = 11 cm.Round the answer to the nearest hundredth. Use 3.14 for pi.

A
554.15 cu. cm
B
564.15 cu. cm
C
504.15 cu. cm
D
764.15 cu. cm
4

What is the volume of a cone with the given dimensions?Radius = 7 cm.; Height = 11 cm.Round the answer to the nearest hundredth. Use 3.14 for pi.

A
554.15 cu. cm
B
564.15 cu. cm
C
504.15 cu. cm
D
764.15 cu. cm
5

How do the surface area and volume of a sphere differ in the label of the answer?

A
The volume of a sphere is expressed in square units and the surface area of a sphere is expressed in cubic units.
B
The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units.
C
The volume and surface area of a sphere are both expressed in cubic units.
D
The surface area of a sphere cannot be determined because a sphere is a round shape.
6

What is the volume of a cone with the given dimensions?Radius = 4 cm ; Height = 10 cmRound the answer to the nearest hundredth. Use 3.14 for pi.

A
167.47 cu. cm
B
112.57 cu. cm
C
484.15 cu. cm
D
964.15 cu. cm
7

Find the volume of the specified cone. Use 3.14 for , and round your answer to the nearest whole number. Diameter = 3 cm, Height = 7 cm

Question illustration
A
44 cu. cm
B
66 cu. cm
C
99 cu. cm
D
16 cu. cm
8

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

Question illustration
A
4186.667 cu. in.
B
523.333 cu. in.
C
104.667 cu. in.
D
294.375 cu. in.
9

Find the volume of the specified cone. Use 3.14 for , and round your answer to the nearest whole number. Diameter = 5 cm, Height = 7 cm

Question illustration
A
73 cu. cm
B
46 cu. cm
C
275 cu. cm
D
183 cu. cm
10

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

Question illustration
A
65.417 cu. m
B
523.333 cu. m
C
26.167 cu. m
D
36.797 cu. m
11

Find the volume of the specified cone. Use 3.14 for , and round your answer to the nearest whole number. Diameter = 5 cm, Height = 9 cm

Question illustration
A
59 cu. cm
B
25 cu. cm
C
38 cu. cm
D
19 cu. cm
12

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

Question illustration
A
51.287 cu. in.
B
1436.027 cu. in.
C
100.971 cu. in.
D
179.503 cu. in.
13

What is the volume of a cone with the given dimensions?Radius = 4 cm ; Height = 10 cmRound the answer to the nearest hundredth. Use 3.14 for pi.

A
167.47 cu. cm
B
112.57 cu. cm
C
484.15 cu. cm
D
964.15 cu. cm
14

Find the volume of the specified cone. Use 3.14 for , and round your answer to the nearest whole number. Radius = 9 in., Height = 8 in.

Question illustration
A
1017 cu. in.
B
151 cu. in.
C
678 cu. in.
D
1356 cu. in.
15

How do the surface area and volume of a sphere differ in the label of the answer?

A
The volume of a sphere is expressed in square units and the surface area of a sphere is expressed in cubic units.
B
The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units.
C
The volume and surface area of a sphere are both expressed in cubic units.
D
The surface area of a sphere cannot be determined because a sphere is a round shape.
16

Find the volume of the specified cone. Use 3.14 for , and round your answer to the nearest whole number. Diameter = 5 cm, Height = 9 cm

Question illustration
A
59 cu. cm
B
25 cu. cm
C
38 cu. cm
D
19 cu. cm
17

Which is the correct formula to calculate the volume of a cone? a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
18

Given a cone with a volume of 288 and height 7 in., find the base radius of the cone. Use 3.14 for pi. Round your answer to the tenths place.

Question illustration
A
2.4 in
B
2.8 in
C
3.5 in
D
6.3 in
19

Determine the volume of a sphere with a diameter of 5 inches.Use 3.14 for , and round your answer to the nearest inch.

Question illustration
A
65 cu. in
B
75 cu. in
C
60 cu. in
D
11 cu. in
20

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

Question illustration
A
51.287 cu. in.
B
1436.027 cu. in.
C
100.971 cu. in.
D
179.503 cu. in.

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