Question: MATH 6552: Week 5 Discussion Packaging Tennis Balls Consider different possibilities for packaging 4 tennis balls. Cylindrical Can Tennis balls typically come packaged in a

MATH 6552: Week 5 Discussion Packaging Tennis
MATH 6552: Week 5 Discussion Packaging Tennis Balls Consider different possibilities for packaging 4 tennis balls. Cylindrical Can Tennis balls typically come packaged in a cylindrical can. The diameter of each tennis ball is 2.5 inches. When stacked one upon the other, the 4 balls must t snuggly against the interior sides, top, and bottom of the can. With this type of packaging, how many cubic inches of empty space are in the cylindrical can? How much material would be needed to package the balls in this way? SguareBased Box Would a square-based box be a better choice for packaging the 4 tennis balls? Determine how many cubic inches of empty space would exist when placing 4 tennis balls snuggly into a squarebased box. How much material would be needed to package the balls in this way? Would this be a better packaging option compared with the cylindrical can? Why? Alternative Options Determine at least one additional packaging option to store 4 tennis balls. Figure out how many cubic inches of empty space would exist with this type of container and the amount of material needed to package the balls in this way. Conclusion Which type of container do you think would be the best to package 4 tennis balls? Explain your thinking. Use mathematical calculations and drawings to support your comments. 2013 Laureate Education, Inc. Page 10f 1

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