SOLUTION: A canned drink will be made using 40 in2 of aluminum let r be the radius of the can and let h be the height. define a function in terms of r that can represent the volume of the ca

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Question 1118228: A canned drink will be made using 40 in2 of aluminum let r be the radius of the can and let h be the height. define a function in terms of r that can represent the volume of the can
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A canned drink will be made using 40 in2 of aluminum let r be the radius of the can and let h be the height. define a function in terms of r that can represent the volume of the can
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The amount of material used, Al or other, has to be in cubic inches, not square inches.
Think about it.
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Who would consume a drink made of aluminum?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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A CONTAINER FOR A cross%28canned%29 drink will be made using 40 cross%28in2%29 SQUARE INCHES of aluminum. Let r be the radius of the can and let h be the height. Define a function in terms of r that can represent the volume of the can.
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Account for the surface area.
h%2A2pi%2Ar%2Bpi%2Ar%5E2%2Bpi%2Ar%5E2=40
h%2A2pi%2Ar%2B2pi%2Ar%5E2=40


Account for (variable) volume.
v=h%2Api%2Ar%5E2

Solve the surface area equation for h in terms of r, and substitute this into the volume function, and simplify.