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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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