A burning bin is created to help local people burn items safely in their neighborhoods. The bins are a right cylinder with a special bottom for long lifespan and a square grated top so that the fire is covered yet smoke can escape. The cost per square foot of the bottom is three times the cost relative to the sides of the burning bin. The grated top is a square piece whose side lengths are the diameter of the burning bin and is 0.5 times the cost per square foot relative to the sides. If a burning bin is to hold 30 cubic feet of materials to burn, what would be the dimensions of a burning bin with a square grated cover such that it minimizes the cost to make?
A burning bin is created to help local people burn items safely in their neighborhoods. The bins are a right cylinder with a special bottom for long lifespan and a square grated top so that the fire is covered yet smoke can escape. The cost per square foot of the bottom is three times the cost relative to the sides of the burning bin. The grated top is a square piece whose side lengths are the diameter of the burning bin and is 0.5 times the cost per square foot relative to the sides. If a burning bin is to hold 30 cubic feet of materials to burn, what would be the dimensions of a burning bin with a square grated cover such that it minimizes the cost to make?
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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Transcribed Image Text:A burning bin is created to help local people burn items safely in their neighborhoods.
The bins are a right cylinder with a special bottom for long lifespan and a square grated
top so that the fire is covered yet smoke can escape. The cost per square foot of the
bottom is three times the cost relative to the sides of the burning bin. The grated top is
a square piece whose side lengths are the diameter of the burning bin and is 0.5 times
the cost per square foot relative to the sides. If a burning bin is to hold 30 cubic feet of
materials to burn, what would be the dimensions of a burning bin with a square grated
cover such that it minimizes the cost to make?
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