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A manufacturer is decidiing whether to use a rectangular prism or a cylinder to package three tennis balls with a radius of 3cm. Which package would have less empty space?

 Jun 7, 2021
 #1
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Cylinder volume = 32pi * 18 ≈ 508.938

 

Prism volume = 62 * 18 = 648

 Jun 7, 2021
 #2
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The rectangular  prism will   have  a square base of  6  on each side  and  a height  of  18

Its  volume is      6^2 * 18   =   648 cm^3

 

The  cylinder  will  have a radius of 3  and a height of 18

Its volume is  pi ( 3^2) * 18   ≈   508.9 cm^3

 

The cylinder  wastes less space

 

cool cool cool

 Jun 7, 2021

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