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?

Guest Jun 30, 2018

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



cool cool cool

CPhill  Jun 30, 2018

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