Dr. Neil Goodman, Professor of Fine Arts at Indiana University Northwest, encountered the following (true story - the numbers are changed to protect the innocent): He won a contract to create a bronze sculpture in a shape of a 1/2 inch thick sphere in front of Soldier Field Stadium in Chicago. Originally, his proposal was to create a sphere with 36 inches in diameter, however he decided to increase the size of the sculpture and create one with 42 inches in diameter. The weight of bronze is approximately 0.315 pounds per cubic inch of material. The cost was about $200 per pound of material (without accounting for everything - just basic cost). What is the difference in this basic cost between creating a sculpture with diameter 36 inches versus the one with 42 inches? (Since the funding was fixed, how much did his decision to increase the diameter by 1/2 foot cost?)

If the diameter of the sphere is 36 inches then the radius = 36/2= 18 inches And inner radius =…

Answered: Dr. Neil Goodman, Professor of Fine…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 37E: Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat...

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Dr. Neil Goodman, Professor of Fine Arts at Indiana University Northwest, encountered the following (true story - the numbers are changed to protect the innocent): He won a contract to create a bronze sculpture in a shape of a 1/2 inch thick sphere in front of Soldier Field Stadium in Chicago. Originally, his proposal was to create a sphere with 36 inches in diameter, however he decided to increase the size of the sculpture and create one with 42 inches in diameter. The weight of bronze is approximately 0.315 pounds per cubic inch of material. The cost was about $200 per pound of material (without accounting for everything - just basic cost). What is the difference in this basic cost between creating a sculpture with diameter 36 inches versus the one with 42 inches? (Since the funding was fixed, how much did his decision to increase the diameter by 1/2 foot cost?)

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