AnswersFL-1205040-MJ Grade 7 Mathematics B -GFConstructing Triangles

Introduction to the Volume of a Cone Answers

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1
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Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone. What is Jalen’s error?

A
The height does not lie on the base because it is perpendicular to the base.
B
The radius does not lie on the base because it contains the center of the base.
C
The diameter does not lie on the base because it contains a radius of the circle.
D
The base does not contain the height, the radius, or the diameter because it is a circle.
2
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A cone has a height of 2.5 in. and a radius of 5 in. What is the volume of the cone? (Use 3.14 for . Round the answer to two decimal places.)

Question illustration
A
32.71
Option A
B
65.42
Option B
C
196.25
Option C
D
588.75
Option D
3

Which label on the cone below represents the height?

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A
A
B
B
C
C
D
D
4

A cylinder and a cone have the same base and height. The cylinder can hold about 4,712 of sand. Jared says that the cone can hold about 1,178 of sand. Which explains whether Jared is correct?

Question illustration
A
Jared is correct because the volume of the cone is less than the volume of the cylinder. The cone holds less sand than the cylinder.
Option A
B
Jared is correct because the cone and the cylinder have the same base and height so the cone holds of sand.
Option B
C
Jared is not correct because the cone and the cylinder have the same base and height so the cone holds of sand.
Option C
D
Jared is not correct because the volume of the cone cannot be found without knowing the radius of the base and the height of the cone.
5

What number can be used to complete the volume statement for the cone?Volume =

Question illustration
Answer not available
6

Which label on the cone below represents the radius?

Question illustration
A
A
B
B
C
C
D
D
7

Isabella uses the equation to find the volume of the cone below. What is Isabella’s error?

Question illustration
A
Isabella should have divided 12 by 2 before squaring to get .
Option A
B
Isabella should have squared 9 instead of 12 to get .
Option B
C
Isabella should have divided the product of 12 and 9 by 3 to get .
Option C
D
Isabella should have divided the product of and 9 by 3 to get .
Option D
8

The cylinder below has a volume of 785 , and the cone has a volume of 314 . Which explains which figure has the greater height?

Question illustration
A
The cylinder has a greater height because the bases are the same, but the cylinder has a greater volume.
B
The cylinder has a greater height because the volume of the cylinder is greater than twice the volume of the cone.
C
The cone has a greater height because the bases are the same, but the volume of the cylinder is less than 3 times the volume of the cone.
D
The cone has a greater height because the bases are the same, but the volume of the cylinder is less than 4 times the volume of the cone.
9

The volume of a cone is . What is the volume of a cylinder with the same base and height as the cone?

Question illustration
A
12 pi inches cubed
Option A
B
36 pi inches cubed
Option B
C
72 pi inches cubed
Option C
D
108 pi inches cubed
Option D
10

Raj, Amit, Parul, and Lara were asked to find the volume of the following cones. RajAmitParulLaraWhose cone has a volume closest to ?

Question illustration
A
Raj
B
Amit
C
Parul
D
Lara

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