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Grade 8 Math: Volume of a Cone

This worksheet helps 8th-grade students practice calculating the volume of cones using the formula V = (1/3)πr²h.

Grade 8 Math GeometryVolumeVolume of a Cone
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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

mathgeometryvolumeconegrade 8
8 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. A cone has a radius of 3 cm and a height of 7 cm. Calculate its volume.

h = 7 cm r = 3 cm

2. In the formula V = (1/3)πr²h, 'r' stands for the   of the cone, and 'h' stands for its  .

3. What is the approximate volume of a cone with a radius of 5 inches and a height of 9 inches? (Use π = 3.14)

a

235.5 cubic inches

b

706.5 cubic inches

c

188.4 cubic inches

d

94.2 cubic inches

4. A party hat is shaped like a cone with a diameter of 6 inches and a height of 8 inches. How much space does the hat occupy?

h = 8 in d = 6 in

5. If you double the height of a cone while keeping the radius constant, its volume will also double.

T

True

F

False

6. A conical paper cup has a volume of 100 cubic centimeters and a height of 6 cm. What is the approximate radius of the cup? (Use π = 3.14)