SOLUTION: A conical paper cup is to have a height of 4 inches. Find the radius r of the cone that will result in a surface area of 6π in2.

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Question 908334: A conical paper cup is to have a height of 4 inches. Find the radius r of the cone that will result in a surface area of 6π in2.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,

side surface =


(6/r)^2) = r^2 + 16
36/r^2 = r^2 + 16
r^4 + 16r^2 - 36 = 0
(r^2 + 18)(r^2 - 2) = 0, r^2 = 2, r = √2

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