A Midwest Cooperative needs to store 15 750 gallons of a liquid chemical. They are considering two possible containers, a hollow cylinder or a hollow sphere. The wall of the sphere will need to be 6 in. thick and the wall, top and bottom of the cylinder are each 6 in. thick. Due to space limitations the height of the cylinder must be 26.0 ft. (a)What will be the outside diameter of the cylinder required to hold the liquid chemical? (b)What will be the outside diameter of the sphere? (c)Assume the containers are made of aluminum, which container uses the most material?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.35P
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A Midwest Cooperative needs to store 15 750 gallons of a liquid chemical. They are considering two possible containers, a hollow cylinder or a hollow sphere. The wall of the sphere will need to be 6 in. thick and the wall, top and bottom of the cylinder are each 6 in. thick. Due to space limitations the height of the cylinder must be 26.0 ft.

(a)What will be the outside diameter of the cylinder required to hold the liquid chemical?

(b)What will be the outside diameter of the sphere?

(c)Assume the containers are made of aluminum, which container uses the most material?

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