AnswersSSCR 26 Math Essentials BApplications with the Volume of a Cone

Applications with the Volume of a Cone Answers

8 verified answers
1
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The volume of a cone is cubic inches. Its height is 12 inches. What is the radius of the cone?

Question illustration
A
2 in.
B
4 in.
C
12 in.
D
16 in.
2
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Zula has a conical bird feeder with a volume of 64.3 cubic centimeters and a height of 7 centimeters. Which equation can be used to find the area of the circular lid needed to cover the bird feeder?

A
64.3 = one-third (7) (h)
Option A
B
64.3 = one-third (B) (7)
Option B
C
64.3 = one-third (B squared) (7)
Option C
D
64.3 = one-third (B) (7) squared
Option D
3

Sondra has a conical bird feeder with a circular top. The volume of the bird feeder is 153.86 cubic inches. The height of the feeder is 12 inches. What is radius of the top? Use 3.14 for . Round the answer to the nearest tenth.

Question illustration
A
3.5 in.
B
7.0 in.
C
12.3 in.
D
49.0 in.
4

Which expression can be used to find the height of the cone below?

Question illustration
A
30 = one-third (8 h)
Option A
B
8 = 30 h
Option B
C
30 = 8 h
Option C
D
8 = one-third (30 h)
Option D
5

An icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 27 mm. In cubic millimeters, how much frozen water is in the icicle? Use 3.14 for . Round your answer to the nearest hundredth.

Question illustration
Answer not available
6

Jaclyn sells candles that are in the shape of cones. She makes a green candle that has a radius of 2.5 inches and a height of 9 inches. She sells each candle at a price of $0.25 per cubic inch of wax. Which statements about the green candle are true? Check all that apply. Use 3.14 for .

Question illustration
A
The volume of the green candle is about .
Option A
B
The volume of the green candle is about .
Option B
C
The diameter of the green candle is 5 in.
D
The diameter of the green candle is 1.25 in.
E
The base area of the green candle is about .
Option E
F
The base area of the green candle is about .
Option F
G
The price of one green candle is about $5.89.
H
The price of one green candle is about $14.72.
7

The volume of a cone with a radius of 7 cm is cubic centimeters. Which expression can be used to find h, the height of the cone?

Question illustration
A
147 pi = one-third (7) (h) squared
Option A
B
147 pi = one-third pi (7 squared) (h)
Option B
C
147 pi = one-third pi h
Option C
D
147 pi = one-third pi (7) (h)
Option D
8

A model of a volcano that is 22 cm tall with a volume of 586.7 cubic centimeters. What is the area of the base of the model? Round the answer to the nearest tenth.

A
26.7 centimeters squared
Option A
B
80.0 centimeters squared
Option B
C
1,760.1 centimeters squared
Option C
D
4,302.5 centimeters squared
Option D

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