Verified Answer :

Please see the pic, I'd solved in it.

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The surface area formula of a cone is:
=Area of base × \(\frac{1}{2}\) × perimeter of base × slant height
=\(\pi\)r² + \(\pi\)rl
=\(\pi\)(7)² + \(\pi\)(7)(18)
=49\(\pi\) + 126\(\pi\)
=175\(\pi\) in² (in terms of \(\pi\))
=549.7787 in² 
≈ 550 in²