SOLUTION: A rectangular piece of sheet metal with an area of 1200 in2 is to be bent into a cylindrical length of stovepipe having a volume of 600 in3. What are the dimensions of the sheet me

Question 1201847: A rectangular piece of sheet metal with an area of 1200 in2 is to be bent into a cylindrical length of stovepipe having a volume of 600 in3. What are the dimensions of the sheet metal? (Round your answer to one decimal place.)
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Let x be the width of the piece of sheet metal, and let y be its length.

Roll the sheet lengthwise to form the cylinder; the height of the cylinder is x and the circumference of the cylinder is y. Then the radius of the cylinder is circumference divided by 2pi, or y/(2pi).

Then

[1] [the area of the piece of sheet metal is 1200 sq in]
[2] [the volume of the cylinder () is 600 cu in]

Substitute [1] in [2]:

Substitute that in [1] to find x:

ANSWERS:
width:
length:

You can evaluate those dimensions and do the rounding....

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