A rectangular piece of sheet metal with an area of 1600 in²
is to be bent into a cylindrical length of stovepipe having a volume of 800 in³.
What are the dimensions of the sheet metal?
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The area of this rectangle is: . .
This is the height of the cylinder.
is the circumference of the circular base of the cylinder.
. . .
The volume of the cylinder is 800: .
Substitute  and : .
. . from which we get: .
Substitute into : .
Therefore, the dimensions are: . inches.