An industrial tank is to be formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume must be 4000 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the dimensions that will minimize cost.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 4AEXP
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An industrial tank is to be formed by adjoining two hemispheres to the ends of a right
circular cylinder. The total volume must be 4000 cubic feet. The hemispherical ends
69
cost twice as much per square foot of surface area as the sides. Find the dimensions
that will minimize cost.
70
72
73
4 II I
0:36 / 17:49
CC
Optimization Problems Example 3
o Unlisted
All
167 views • Jun 23, 2016
A SHARE
E, SAVE
P Type here to search
Transcribed Image Text:Home - MyMassasc X O Video: Optimization Problems Ex. X (101) Optimization Problems 4 x G Google Account A https://www.youtube.com/watch?V3LOLANK_kucE&list=PLt1hW1lbK3ealPnM77E779r4-uiYe1DKJ mail O YouTube M Student A Maps uTube Search Example An industrial tank is to be formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume must be 4000 cubic feet. The hemispherical ends 69 cost twice as much per square foot of surface area as the sides. Find the dimensions that will minimize cost. 70 72 73 4 II I 0:36 / 17:49 CC Optimization Problems Example 3 o Unlisted All 167 views • Jun 23, 2016 A SHARE E, SAVE P Type here to search
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