A company sells men's basketballs with a circumference of 29.5 in. They also sell youth basketballs with a circumference of 27.75 in. The company has cube-shaped packaging boxes with edges that are either 8 in., 9 in., or 10 in. long. What is the smallest box in which each ball can be packaged?

Question

Mathematics

Giana Wang

17 May, 00:26

A company sells men's basketballs with a circumference of 29.5 in. They also sell youth basketballs with a circumference of 27.75 in. The company has cube-shaped packaging boxes with edges that are either 8 in., 9 in., or 10 in. long. What is the smallest box in which each ball can be packaged?

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Answers (1)

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Jovany Carson · Answer 1

Since C=πd, d=C/π

So the diameter of the large basketballs are:

d=29.5/π in

d≈9.39 in

The diameter of the small basketballs are:

d=27.75/π in

d≈8.83 in

So the large basketballs will have to be packaged in the 10 in boxes and the small basketballs will have to be packaged in the 9 in boxes.