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Volume of a Cone Worksheet

Calculate the volume of various cones using the formula V = (1/3)πr²h. This worksheet includes multiple choice, fill-in-the-blank, and short answer questions.

Grade 7 Math GeometryVolumeVolume of a Cone
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Multiple ChoiceFill in the BlanksShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.8.G.C.9

Topics

mathgeometryvolumeconegrade 7
6 sections · Free to use · Printable
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Volume of a Cone Worksheet

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Read each question carefully and calculate the volume of the cone. Use π ≈ 3.14 and round your answers to two decimal places where necessary. The formula for the volume of a cone is V = (1/3)πr²h.

1. What is the volume of a cone with a radius of 3 cm and a height of 7 cm?

r = 3 cmh = 7 cm
a

21.98 cm³

b

65.94 cm³

c

197.82 cm³

d

44.00 cm³

2. A cone has a height of 10 inches and a diameter of 8 inches. What is its volume?

a

167.47 in³

b

251.20 in³

c

502.40 in³

d

670.24 in³

3. The formula for the volume of a cone is V =  .

4. If a cone has a radius of 5 meters and a height of 9 meters, its volume is approximately   m³.

5. A party hat has a radius of 4 cm and a volume of 100.48 cm³. What is the height of the party hat? Show your work.

6. An ice cream cone has a diameter of 6 cm and a height of 12 cm. How much ice cream can it hold (volume)?

Conifer Branch With Cone

7. Doubling the radius of a cone will double its volume.

T

True

F

False

8. If a cone and a cylinder have the same radius and height, the cone's volume is one-third of the cylinder's volume.

T

True

F

False