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Calculus/Differential Calculus
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Minimum Cost of a Cylindrical Can

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A cylindrical can is to be designed to hold water with a volume of 10*Pi cubic meters.

What is the minimum total cost to construct the cylinder given that the material for

(i) the top costs $20 per square meter,

(ii) the bottom costs $10 per square meter, and

(iii) the side costs $15 per square meter?

A$551
B$275
C$827
D$1047
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