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Grade 7 Math Worksheet: Volume of a Cylinder

Calculate the volume of cylinders using the formula V = πr²h. This worksheet includes multiple-choice, fill-in-the-blank, and short-answer questions.

Grade 7 Math GeometryVolumeVolume of a Cylinder
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.7.G.B.6

Topics

mathgeometryvolumecylindergrade 7
7 sections · Free to use · Printable
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Volume of a Cylinder

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Read each question carefully and calculate the volume of the cylinders. Use π ≈ 3.14. Round your answers to two decimal places where necessary.

1. What is the formula for the volume of a cylinder?

a

V = 2πrh

b

V = πr²h

c

V = πdh

d

V = πr + h

2. A cylindrical can has a radius of 3 cm and a height of 10 cm. What is its volume?

a

90 cm³

b

282.6 cm³

c

314 cm³

d

90π cm³

1. The volume of a cylinder is found by multiplying the area of its base by its  .

2. If the diameter of a cylinder is 8 cm, its radius is   cm.

3. The constant π (pi) is approximately equal to  .

1. Calculate the volume of a cylinder with a radius of 5 meters and a height of 8 meters. Show your work.

8m 5m

2. A water tank is shaped like a cylinder with a diameter of 6 feet and a height of 12 feet. How much water can it hold?

1. Doubling the radius of a cylinder will double its volume.

T

True

F

False

2. The height of a cylinder is always greater than its radius.

T

True

F

False

A cylindrical glass has a volume of 300 cm³. If its height is 10 cm, what is the approximate radius of the glass? (Use π ≈ 3.14)