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andreyandreev [35.5K]
3 years ago
13

A cylinder and a sphere both have the same radius, 4. The height of the cylinder is equal to the diameter of the sphere. Select

the expression that describes the volume of the cylinder that is not occupied by the sphere.
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
6 0

Answer:

134.04 cubic units

Step-by-step explanation:

Step 1

Find the Volume of the Sphere

Formula = 4/3πr³

r= radius = 4

Hence,

Volume = 4/3 × π × 4³

= 268.08 cubic units

Step 2

Find the Volume of the cylinder

Formula = πr²h

r = radius = 4

h = Height = Diameter of the sphere

Radius of a sphere = 4

Diameter = Height of cylinder = 2 × r = 2 × 4 = 8

Hence: π × 4² × 8

= 402.12 cubic units

Step 3

The expression that describes the volume of the cylinder that is not occupied by the sphere = Volume of Cylinder - Volume of sphere

= 402.12 cubic units - 268.08 cubic units

= 134.04 cubic units

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<h3>Writing an expression</h3>

From the given information, we are to write the expression that represents Lonnie's final number

From the given information,

"<em>kristy asks lonnie to think of a number, add 3 to it</em>"

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Learn more on Writing an expression here: brainly.com/question/12166019

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