A company wants to manufacture an open cylindrical bucket of volume 15 litres (15000 cm³). The plastic used for the base of the bucket costs 0.08 cents per cm² while the plastic used for the curved side of the bucket costs 0.06 cents per cm². Find the radius and height of the bucket for which the bucket has minimum cost. What is the minimum cost? Show all the reasoning and evaluate your answers to 2 decimal places.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
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A company wants to manufacture an open cylindrical bucket of volume 15 litres
(15000 cm³). The plastic used for the base of the bucket costs 0.08 cents per cm² while
the plastic used for the curved side of the bucket costs 0.06 cents per cm². Find the
radius and height of the bucket for which the bucket has minimum cost. What is the
minimum cost? Show all the reasoning and evaluate your answers to 2 decimal places.
Transcribed Image Text:A company wants to manufacture an open cylindrical bucket of volume 15 litres (15000 cm³). The plastic used for the base of the bucket costs 0.08 cents per cm² while the plastic used for the curved side of the bucket costs 0.06 cents per cm². Find the radius and height of the bucket for which the bucket has minimum cost. What is the minimum cost? Show all the reasoning and evaluate your answers to 2 decimal places.
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