Find by use of differentials the approximate total area of a right circular cone whose base radius and height are 5.03 inches and 11.89 inches, respectively.
A= π\piπr(r+√h2+r2)
A= π\piπrl+πr2
l=r2+h2
A= π·5.03·(5.03+11.892+5.032)
A= 283.49467
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