find the surface area of a cone with a slant height of 18 inches and a radius of 7 inches
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