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Applications with the Volume of a Cone Answers

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1
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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
2
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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
3

An icicle is in the shape of an inverted cone with a diameter of 11 mm and a height of 90 mm. How much frozen water is in the icicle? Use 3.14 for . Round the answer to the nearest tenth.

Question illustration
A
1,036.2 millimeters cubed
Option A
B
1,554.3 millimeters cubed
Option B
C
2,849.6 millimeters cubed
Option C
D
4,662.9 millimeters cubed
Option D
4

What is the height of the cone below?

Question illustration
A
5 cm
B
6 cm
C
15 cm
D
30 cm
5

An icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 120 mm. The icicle drips at a rate of per minute. How long will it take the icicle to completely melt? Use 3.14 for . Round the answer to the nearest tenth.

Question illustration
A
5.1 minutes
B
7.5 minutes
C
15.1 minutes
D
33.9 minutes
6

A circular cardboard piece is needed for the base of a volcano model. The volcano is 46 centimeters tall and has a volume of 800 cubic centimeters. Which equation can be used to find the area of the circular base?

A
46 = one-third (B) squared (800)
Option A
B
46 = one-third (B) (800)
Option B
C
800 = one-third (B squared) (46)
Option C
D
800 = one-third (B) (46)
Option D
7

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
8

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.
9

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
10

The volume of a cone is cubic feet. Its height is 12 feet. Ashlyn is finding the area of the base of the cone. Her work is shown below.What is Ashlyn’s error?

Question illustration
A
In step 3, Ashlyn did not subtract from .
Option A
B
In step 2, Ashlyn did not find the correct value for multiplying and 12.
Option B
C
In step 1, Ashlyn included a factor of on the right side of the formula.
Option C
D
In step 1, Ashlyn did not substitute the correct value for the height in the formula.

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