4. A manufacturer wants to produce cylindrical cans of two sizes: one with a content of 0.5 liter and another with a content of 0.25 liter. He will produce 1000 units of the first size and 2000 of the second size. Both these types of cans must have the same radius. If the least amount of material is to be used, what radius and height will both sizes of cans have?

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
Section9.3: Cylinders And Cones
Problem 7E: The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of...
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4. A manufacturer wants to produce cylindrical cans of two sizes: one with a content of 0.5 liter and
another with a content of 0.25 liter. He will produce 1000 units of the first size and 2000 of the second
size. Both these types of cans must have the same radius. If the least amount of material is to be used,
what radius and height will both sizes of cans have?
Transcribed Image Text:4. A manufacturer wants to produce cylindrical cans of two sizes: one with a content of 0.5 liter and another with a content of 0.25 liter. He will produce 1000 units of the first size and 2000 of the second size. Both these types of cans must have the same radius. If the least amount of material is to be used, what radius and height will both sizes of cans have?
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