A Korean corn dog is a cylindrical piece of hotdog, rice cake, or mozzarella cheese, evenly coated in batter, and deep fried. Enrico sells regular sized corn dogs with a hotdog of radius 3 cm coated in 2 cm thick batter. He also sells XXL corn dogs that are of radius 8 cm coated in 3 cm thick batter. Use partial differentials to approximate how much larger (in cm²) the cross-sectional area of the XXL corn dogs are compared to his regular corn dogs.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 42E: The gasoline tank on an automobile is box-shaped with dimensions of 24 in. by 20 in. by 9 in. If 1...
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A Korean corn dog is a cylindrical piece of hotdog, rice cake, or
mozzarella cheese, evenly coated in batter, and deep fried. Enrico
sells regular sized corn dogs with a hotdog of radius 3 cm coated in
2 cm thick batter. He also sells XXL corn dogs that are of radius 8
cm coated in 3 cm thick batter. Use partial differentials to
approximate how much larger (in cm²) the cross-sectional area of
the XXL corn dogs are compared to his regular corn dogs.
Transcribed Image Text:A Korean corn dog is a cylindrical piece of hotdog, rice cake, or mozzarella cheese, evenly coated in batter, and deep fried. Enrico sells regular sized corn dogs with a hotdog of radius 3 cm coated in 2 cm thick batter. He also sells XXL corn dogs that are of radius 8 cm coated in 3 cm thick batter. Use partial differentials to approximate how much larger (in cm²) the cross-sectional area of the XXL corn dogs are compared to his regular corn dogs.
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