SOLUTION: A cyndrical hot water heater holds 40 gallons. What height and radius minimizes surface area? 1 gallon= 231 inches cubed.

Question 994359: A cyndrical hot water heater holds 40 gallons. What height and radius minimizes surface area? 1 gallon= 231 inches cubed.
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The surface area of a closed cylinder,
where r is the radius, and h is the height
Express h in terms of the volume, V which is known:

So we can express the area as:

The surface area is minimized when
Solving for r gives
V = 40 gallons * 231 ci/gallon = 9240 ci (cubic inches)
Therefore, inches
inches
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