A beverage company sells concentrated orange juice in cylindrical containers measuring 6 inches tall and 4 inches in diameter. It can be difficult packing them into boxes due to their round shape. If they want to change to a rectangular package, what dimensions should they use (length, width, height) to get as close to the same volume as they currently pack into a container? Explain how you came up with your answer.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 37E: Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat...
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A beverage company sells concentrated orange juice in cylindrical containers measuring 6 inches tall and 4 inches in diameter. It can be difficult packing them into boxes due to their round shape. If they want to change to a rectangular package, what dimensions should they use (length, width, height) to get as close to the same volume as they currently pack into a container? Explain how you came up with your answer.

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