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Volume of a Sphere Worksheet

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

Grade 11 Math GeometryVolumeVolume of a Sphere
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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GMD.A.3

Topics

mathgeometryvolumespheregrade 11
8 sections · Free to use · Printable
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Volume of a Sphere

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Read each question carefully and calculate the volume of the sphere. Use the formula V = (4/3)πr³, where r is the radius. Round your answers to two decimal places unless otherwise specified. Use π ≈ 3.14.

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

r = 6 cm

2. A spherical balloon has a diameter of 10 inches. What is its volume?

d = 10 in

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

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

5. Which of the following spheres has the largest volume?

a

Radius = 3 cm

b

Diameter = 7 cm

c

Radius = 3.5 cm

d

Diameter = 6 cm

6. A spherical water tank has a radius of 5 meters. How many liters of water can it hold? (1 m³ = 1000 liters)

7. If two spheres have the same surface area, they must also have the same volume.

T

True

F

False