A cylindrical can needs to hold 500 cm³ of apple juice. The height of the can must be between 6 cm and 15 cm. What are the dimensions of the can so that the minimum amount of material is used? (Assume there is no waste)

A cylindrical can needs to hold 500 cm³ of apple juice. The height of the can must be between 6 cm and 15 cm. What are the dimensions of the can so that the minimum amount of material is used? (Assume there is no waste)

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.CR: Review Exercises

Problem 2CR: The base of a right prism is a triangle whose sides measure 7cm, 8cm and 12cm. The altitude of the...

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Question

A cylindrical can needs to hold 500 cm³ of apple juice. The height of the can must be between 6 cm and 15 cm.
What are the dimensions of the can so that the minimum amount of material is used? (Assume there is no
waste)

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