Hello, tmac11522!
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? Code:
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The area of this rectangle is: . .[1]
This is the height of the cylinder.
is the circumference of the circular base of the cylinder.
. . .[2]
The volume of the cylinder is 800: .
Substitute [1] and [2]: .
. . from which we get: .
Substitute into [1]: .
Therefore, the dimensions are: . inches.