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Grade 9 Math: Spheres

This worksheet focuses on understanding and calculating properties of spheres, including surface area and volume, suitable for Grade 9 geometry students.

Grade 9 Math GeometryGeometry 3D ShapesSpheres
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Multiple ChoiceFill in the BlanksShort AnswerCustom

Standards

CCSS.MATH.CONTENT.HSG.GMD.A.2CCSS.MATH.CONTENT.HSG.GMD.A.4

Topics

mathgeometryspheressurface areavolumegrade 9
6 sections · Free to use · Printable
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Grade 9 Math: Spheres

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Read each question carefully and answer to the best of your ability. Show all your work for calculations.

1. Which of the following formulas represents the volume of a sphere?

a

V = πr²h

b

V = (4/3)πr³

c

V = 2πrh

d

V = πr²

2. What is the surface area of a sphere with radius 'r'?

a

A = πr²

b

A = 2πr

c

A = 4πr²

d

A = (1/3)πr²h

1. A sphere is a perfectly round three-dimensional object, where every point on its surface is equidistant from its  .

2. The distance from the center of a sphere to any point on its surface is called the  .

3. The   of a sphere is the amount of space it occupies, measured in cubic units.

1. A sphere has a radius of 5 cm. Calculate its exact surface area in terms of π.

2. Find the volume of a sphere with a diameter of 10 meters. Use π ≈ 3.14 and round your answer to two decimal places.

Consider the sphere shown below. Its radius is given as 3 units. Calculate its surface area and volume.

3

Surface Area:  

Volume: