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# Cylinders - Geometry Question

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A cylindrical can that is six inches high has a label that is $60\pi$ square inches in area and exactly covers the outside of the can excluding the top and bottom lids. What is the radius of the can, in inches?

Jun 30, 2018

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If we  unwrapped the label, we would have a rectangle  whose dimensions woud be :

6  *   circumference of the can  = area of the label

So....we have that

6 * 2*pi*r  =  60 pi    ....   divide out  pi

12r  =  60      divide both sides by 12

r  = 5 in =  radius of the can

Jun 30, 2018