A company wants to manufacture an open cylindrical bucket of volume 15 litres (15000 cm3 22)

Math Sep 08, 2020

A company wants to manufacture an open cylindrical bucket of volume 15 litres (15000 cm3 22). The plastic used for the base of the bucket costs 0.08 cents per cm while the plastic used for the curved side of the bucket costs 0.06 cents per cm . 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.