SOLUTION: a closed top cylindrical oil drum made of metal is to be constructed. the oil drum must hold 50 cubic feet of oil. find the dimensions of the oil drum to be constructed that will m
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Question 1057295: a closed top cylindrical oil drum made of metal is to be constructed. the oil drum must hold 50 cubic feet of oil. find the dimensions of the oil drum to be constructed that will minimize the amount of metal used in the construction.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
The cylinder has two basic measurements. Height and diameter (or "length" and radius).
v for volume,
s for surface area,
You are given the volume, in cubic feet,
Substitute for h in the surface area formula.
Minimizing the area s means finding and setting equal to 0.
From here, you are interested in the NUMERATOR being 0.
, and from this you can evaluate h.
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