Suppose you work for a company that manufactures cylindrical cans. Which will cost more to manufacture, a can with a radius of
4 inches and a height of 5 inches, or a can with a radius of 5 inches and a height of 4 inches? Assume that the cost of material for the tops and bottoms is per $1.40 square inch and the cost of material for curved surfaces is $0.90 per square inch.
2 answers:
Answer:
the can with the 5-inch radius will cost more
Step-by-step explanation:
The cost will be given by the formula ...
cost = 1.40 × (top & bottom area) + 0.90 × (lateral area)
In terms of radius and height the areas are ...
top & bottom area = 2πr²
lateral area = 2πrh
So, the total cost of a can with radius r and height h is ...
c(r, h) = 1.40·2πr² +0.90·2πrh
Filling in the given values and doing the arithmetic, we find the costs to be ...
c(4, 5) = $253.84
c(5, 4) = $333.01
The cost of the can with the 5-inch radius is the greatest.
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Step-by-step explanation:
Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by (1)
where t = 0 corresponds to 1980.
Then , for 2009
t= 2009-1980=29
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Step-by-step explanation:
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