Answered: A manufacturer of transparent container…

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Calculus

A manufacturer of transparent container makes a plastic cylindrical aquarium

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 34E: The numerical value of the volume of a cube equals the numerical value of its total surface area....

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Question

A manufacturer of transparent container makes a plastic cylindrical aquarium
with hemispherical-shape ends as a solid lid with a volume of 2000m^3
. Find the minimum surface area that will minimize the material needed to produce each aquarium.

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