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Volume of a Sphere Worksheet

Calculate the volume of spheres given radius or diameter, and solve real-world problems involving spherical objects.

Grade 12 Math GeometryVolumeVolume of a Sphere
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GMD.A.2

Topics

MathGeometryVolumeSphereGrade 12
7 sections · Free to use · Printable
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Volume of a Sphere

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Read each question carefully and show all your work. Use π ≈ 3.14 where necessary. Round your answers to two decimal places unless otherwise specified.

1. Calculate the volume of a sphere with a radius of 6 cm.

r = 6 cm

2. Find the volume of a sphere with a diameter of 10 inches.

d = 10 in

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

4. If the radius of a sphere is doubled, its volume will increase by a factor of  .

5. A spherical balloon has a radius of 3 meters. What is its approximate volume?

a

36π m³

b

108π m³

c

113.04 m³

d

339.12 m³

6. A spherical storage tank has a diameter of 20 feet. How much liquid can it hold in cubic feet?

7. If the volume of a sphere is 288π cm³, what is its radius?

8. Doubling the radius of a sphere will double its volume.

T

True

F

False

9. The volume of a sphere is directly proportional to the cube of its radius.

T

True

F

False