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Question:

REALLY need helpA cylindrical drum with an open top is to be constructed using 1 m^2 aluminum?

Write an equation for the volume of the drum in terms of the radius.Can someone help me with this question? What are they asking for, and how do we solve?

Answer:

They make very good metal fixing epoxiesI suggest looking on-line or at Home Depot instead of Yahoo Answers.
Go to Wal-Mart or somewhere like itWhere the auto-paint is, you will find a tube of Marine EpoxyIt is some stout stuffIt is meant to be used underwaterWe use it to seal leaks in our aluminum boatsLasts a long time.
What are they asking is a good questionSpecifying that the top is open sort of suggests that the bottom is not, so the aluminum to make the bottom needs to be considered as well as the cylinder's tube pieceAnd that yields different answers depending on whether you can use the 1 m^2 of aluminum in any way you want to as long as it sums to 1 m^2, or if you're stuck cutting the bottom circular piece out of a sheet of aluminum that's actually one meter by one meter, and you have to use only what's left for the tube, without melting it down and reforming itAssuming you get to use whatever totals to 1 m^2: SA 2 pi r h + pi r^2 1 m^2 Solve the surface area for h in terms of r, because we can substitute that into the volume formula to give volume in terms of r alone2 pi r h + pi r^2 1 2 pi r h 1 - pi r^2 h (1 - pi r^2) / 2 pi r V pi r^2 h V pi r^2 (1 - pi r^2) / 2 pi r V r (1 - pi r^2) / 2 V (r - pi r^3) / 2

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