A firm has commissioned an IE to design a trash can with a capacity of 30 gallons. The can is in the form of a right circular cylinder. The bottom is stamped from a circular disk whose radius is 1 in greater than that of the can. The extra inch is turned down to form a rim so that the bottom does not touch the ground. The side fits down over this rim. The top is stamped similar from a disk whose radius is 2 inch greater than that of the can. A heavier material should be used for the top and bottom. The costs will be 4/3 as much per square inch as the material for the sides. Find the relative proportions of the can per minimum cost.
A firm has commissioned an IE to design a trash can with a capacity of 30 gallons. The can is in the form of a right circular cylinder. The bottom is stamped from a circular disk whose radius is 1 in greater than that of the can. The extra inch is turned down to form a rim so that the bottom does not touch the ground. The side fits down over this rim. The top is stamped similar from a disk whose radius is 2 inch greater than that of the can. A heavier material should be used for the top and bottom. The costs will be 4/3 as much per square inch as the material for the sides. Find the relative proportions of the can per minimum cost.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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