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I'm in Geometry and I'm having trouble with this question - You want to decorate the side of a cylindrical can by coloring a rectangular piece of paper and wrapping it around the can. The paper is 19 cm by 29 cm. Find the two possible diameters to the can to the nearest 0.01 cm. Assume the paper fits exactly.

Guest Apr 26, 2017

Best Answer 

 #1
avatar+5565 
+2

There are two ways to wrap the paper around the can.

 

 

In case A, the circumference of the can = 19 cm

In case B, the circumference of the can = 29 cm

 

circumference = π * diameter → diameter = circumference / π

 

In case A, the diameter = 19 / π ≈ 6.05 cm

In case B, the diameter = 29 / π ≈ 9.23 cm

hectictar  Apr 26, 2017
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3+0 Answers

 #1
avatar+5565 
+2
Best Answer

There are two ways to wrap the paper around the can.

 

 

In case A, the circumference of the can = 19 cm

In case B, the circumference of the can = 29 cm

 

circumference = π * diameter → diameter = circumference / π

 

In case A, the diameter = 19 / π ≈ 6.05 cm

In case B, the diameter = 29 / π ≈ 9.23 cm

hectictar  Apr 26, 2017
 #2
avatar+79881 
+1

 

I really like those "paint" images you create, hectictar....they are very helpful....!!!!!

 

 

cool cool cool

CPhill  Apr 26, 2017
 #3
avatar+5565 
+2

Thank you very much CPhill ! smiley

hectictar  Apr 26, 2017

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