1. A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom and a top and a volume of 382cm³. (a) How should the company design the cans (i.e. what are the dimensions of the cans) if they want to minimize the cost of constructing them? (b) According to Google, most soup cans have a volume of 382cm with dimensionsr = 3.25cm and h = 11.51cm. Does this agree with your answer to %3D (a)? If not, give at least one reason why your answer to (a) may not be the best in the "real world".

1. A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom and a top and a volume of 382cm³. (a) How should the company design the cans (i.e. what are the dimensions of the cans) if they want to minimize the cost of constructing them? (b) According to Google, most soup cans have a volume of 382cm with dimensionsr = 3.25cm and h = 11.51cm. Does this agree with your answer to %3D (a)? If not, give at least one reason why your answer to (a) may not be the best in the "real world".

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 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...

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The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will have an internal volume of 2.4 ft3. For aesthetic reasons, the design team has decided that the height of the cabinet is to be 1.5 times its width. If the top, bottom, and sides of the cabinet are constructed of veneer costing 45¢/ft2 and the front (ignore the cutouts in the baffle) and rear are constructed of particle board costing 15¢/ft2, what are the dimensions of the enclosure that can be constructed at a minimum cost? width= ____ ft height= ____ ft depth= ____ ft
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